SchoolTutoring Submission Error - Please provide a valid contact phone number.
Close

Not a member yet? Register now and get started.

lock and key

Sign in to your account.

Account Login

Forgot your password?

Limits: Reaching for a Goal

A limit can be a difficult concept to grasp in mathematics, as it is a value that is never reached, but is ‘approached’ by an input, or index of some nature. Limits are essential for integrals, continuity and derivatives in calculus.

Let f(x) be a given function. Values of f(x) can be made arbitrarily close to L. We can do this by taking x sufficiently close to a, with x≠a, on either side of a, then we say that L is the limit of f(x) as x approaches a and we write it as f(x) = L.

If xà∞ then it means that x values will go far on the right side of the horizontal axis,  x-axis. The corresponding f(x) values will be read on the vertical axis, Y-axis. To understand this we can examine the following examples.

Calculation of limits:

a)      The limit of sum of two functions is nothing but the sums of the limits of the individual functions.

[f(x)+g(x)] =  f(x) +  g(x)

b)      The limit of difference of two functions is nothing but the difference of the limits of the individual functions in the given order.

    [f(x)-g(x)] =  f(x) –  g(x)

c)      The limit of product of two functions is nothing but the product of the limits of the individual functions.

[f(x)*g(x)] =  f(x) * g(x)

d)      The limit of quotient of two functions is nothing but the quotient of the limits of the individual functions in the given order.

[f(x)/g(x)] =  f(x)/ g(x)

Situations where a limit cannot be found:

a)      The limit of a difference of functions cannot exist if both tend to ∞.

b)      The limit of product of two functions cannot exist of one tend to ∞ and the other tend to 0.

c)      The limit of quotient of two functions cannot exist if both tend to either ∞ or zero.

Need further help with Math?

 
SchoolTutoring Academy is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in Delaware visit: Tutoring in Delaware.

  1. hefalimp cardijon07-26-14
  2. www.blucarpet.com07-31-14
  3. online slots08-05-14
  4. united states,08-06-14
  5. dog bed08-07-14
  6. URL08-12-14
  7. payday loans direct lenders08-13-14
  8. automotive08-14-14
  9. Travel08-14-14
  10. goat sex08-14-14
  11. useful08-14-14
  12. helpful08-14-14
  13. source here08-14-14
  14. sysgration.info08-15-14
  15. hcmay.com08-15-14
  16. utilitech.info08-15-14
  17. togel hari ini08-15-14
  18. districtvii.info08-15-14
  19. buy instagram promotion08-16-14
  20. penis enlargement pills08-16-14
  21. yogaitalia.info08-17-14
  22. mmpr licensed producers mmpr licensed producers08-17-14
  23. goodlipodoctor.info08-17-14
  24. lawyer08-17-14
  25. arkansasclassic.info08-18-14
  26. wangshangzhenqiandoudizhu0001.info08-18-14
  27. zhenrendoudizhu0005.info08-18-14
  28. ecigarettes auckland08-18-14
  29. ht-s350008-18-14
  30. Automotive08-18-14
  31. bedroom suites08-19-14
  32. go here08-19-14
  33. Alex Begum personal injury attorney08-19-14
  34. Pension08-19-14
  35. New Songs List08-19-14
  36. Optimax08-19-14
  37. cincyamateurgolf.info08-19-14
  38. seo training08-20-14
  39. Shaahin08-20-14
  40. dublin massage08-20-14
  41. Penis enlargement08-20-14
  42. Driving School Paignton08-20-14
  43. Penis enlargement08-20-14
  44. nature's comfort reviews08-20-14
  45. law firm08-20-14
  46. frases bonitas08-21-14
  47. kitchen cupboards08-21-14
  48. click here08-21-14
  49. document management08-21-14
  50. hills home market08-21-14
  51. Richard McArthur Port Orchard08-21-14
  52. kitchens08-22-14
  53. Flight Tickets08-22-14
  54. agencies modeling08-22-14
  55. Richard McArthur Belfair08-22-14
  56. ford raptor bumper08-22-14
  57. distante rutiere08-23-14
  58. Social Justice08-23-14
  59. cult education08-23-14
  60. PLAYA DEL CARMEN REAL ESTATE08-23-14
  61. electric bike motor08-23-14
  62. Penis enlargement08-23-14
  63. Viagra08-23-14
  64. Viagra08-23-14
  65. banking08-24-14
  66. hospital service08-24-14
  67. homes works08-24-14
  68. cult education08-24-14
  69. business marketing08-24-14
  70. law08-24-14
  71. real estate08-24-14
  72. sales08-24-14
  73. click here08-24-14
  74. buy cheap likes08-24-14
  75. outlook.com08-25-14
  76. visitar08-25-14
  77. Viagra08-25-14
  78. Penis enlargement08-25-14
  79. sports08-25-14
  80. google plus08-25-14
  81. island08-25-14
  82. web development08-25-14
  83. online dating i love cats08-25-14
  84. insane value08-25-14
  85. Madden 1508-25-14
  86. is online dating destroying love08-25-14
  87. Health08-25-14
  88. Real Estate08-25-14
  89. dbz dress up08-25-14
  90. بفركس نصب08-26-14
  91. بفركس احتيال08-26-14
  92. emily bronte poems08-26-14
  93. blog08-26-14
  94. technology08-26-14
  95. sex sites08-26-14
  96. Mortgage company08-26-14
  97. tech08-26-14
  98. بفركس شركة08-26-14
  99. $25 Payments08-26-14
  100. Home Improvement08-26-14
  101. penisvergrößerung08-26-14
  102. Skip Trowel Texture08-26-14
  103. Illinois Process Serving08-26-14
  104. Popcorn Ceiling Removal08-26-14
  105. Trading08-27-14
  106. emillio ferrari entertainment 708-27-14
  107. shakeology review bodybuilding08-27-14
  108. Chicago08-27-14
  109. kvar energy08-27-14
  110. dryer vent cleaning Mclean08-27-14
  111. renta de autos en cancun08-27-14
  112. Restore My Vision Today08-27-14
  113. mortgage renewal08-27-14
  114. Arlington VA dryer vent cleaning Wizard08-27-14
  115. Best online auction sites08-27-14
  116. janitorial services houston08-27-14
  117. check this08-27-14
  118. traffic ticket lawyers los angeles 175K08-27-14
  119. Victor Thomas08-27-14
  120. Computational Economics08-27-14
  121. the best forex robot08-27-14
  122. golden pyykinpesuaine08-28-14
  123. Bee Removal Kingwood08-28-14
  124. blog08-28-14
  125. renta de autos en cancun08-28-14
  126. frau befriedigen08-28-14
  127. blog08-28-14
  128. new car sales08-28-14
  129. click here08-28-14
  130. Human Resource HR Consultant08-28-14
  131. boucher hyundai08-28-14
  132. Porno Filmes08-28-14
  133. blog08-28-14
  134. my site08-28-14
  135. Jual Tambah Follower08-28-14
  136. Menambah Likes Instagram08-28-14
  137. new vw bus08-28-14
  138. fish oil08-28-14
  139. shaffer hyundai08-28-14
  140. in here08-28-14
  141. info08-28-14
  142. website08-28-14
  143. legal highs08-28-14
  144. 12 questions every borrower should consider before refinancing08-28-14
  145. diagnostic services08-29-14
  146. resources08-29-14
  147. my site08-29-14
  148. webmaster08-29-14
  149. eyesight08-29-14
  150. lasik eye surgery08-29-14
  151. coupon08-29-14
  152. in here08-29-14
  153. website08-29-14
  154. 32 weken zwanger08-29-14
  155. Illinois Process Server08-29-14
  156. in here08-29-14
  157. blog08-29-14
  158. blogs08-29-14
  159. download app08-29-14
  160. Buy Viagra08-30-14
  161. machines sewing08-30-14
  162. FSBO Memphis TN08-30-14
  163. my site08-30-14
  164. webmaster08-30-14
  165. my blogs08-30-14
  166. yoga hong kong08-30-14
  167. Virus08-30-14
  168. Legacy Premium Food Storage08-30-14
  169. address book unicoi county tn08-30-14
  170. viagra08-30-14
  171. android apps08-30-14
  172. how to celebrate labor day08-30-14
  173. paginas web wordpress nicaragua08-30-14
  174. mask for dry skin08-30-14
  175. funny wallpapers08-30-14
  176. blog08-30-14
  177. source website08-30-14
  178. gordas utilisima08-30-14
  179. payday loans08-30-14
  180. gafas presbicia 0.7508-30-14
  181. ion composite racing wheels08-30-14
  182. Betboo08-30-14
  183. fantasy novels for teens08-31-14
  184. ministerial08-31-14
  185. are kettlebell workouts good08-31-14
  186. webmaster08-31-14
  187. my blogs08-31-14
  188. bets1008-31-14
  189. Coupons08-31-14
  190. Rechargeable pa speakers08-31-14
  191. health and beauty08-31-14
  192. Incest08-31-14
  193. harga jam tangan casio08-31-14
  194. Swaddle Me kapalo08-31-14
  195. Sex08-31-14
  196. resources08-31-14
  197. iphone608-31-14
  198. promovare adwords08-31-14
  199. click here08-31-14
  200. how to make money on twitter08-31-14
  201. anal08-31-14
  202. nod32 keys08-31-14
  203. Make Money Online08-31-14
  204. dog training for dummies09-01-14
  205. my site09-01-14
  206. Bloomfield Twp09-01-14
  207. pest control houston09-01-14
  208. blogs09-01-14
  209. bee wild pest control09-01-14
  210. appliance repair Yonkers NY09-01-14
  211. appliance repair Greenwich09-01-14
  212. appliance repair near Greenwich CT09-01-14
  213. check out more from this blogger09-01-14
  214. webmaster09-01-14
  215. blog09-01-14
  216. MovieStarPlanet Cheats Hack09-01-14
  217. source website09-01-14
  218. Bamboo Flooring09-01-14
  219. elplp57 replacement projector lamp bulb09-01-14
  220. openappmkt09-02-14
  221. Cialis09-02-14
  222. blog09-02-14
  223. betting09-02-14
  224. usa business databases09-02-14
  225. Surprise appliance repair09-02-14
  226. Surprise appliance repair09-02-14
  227. buy cialis online09-02-14
  228. appliance repair Peoria09-02-14
  229. site09-02-14
  230. blogs09-02-14
  231. sleep disorders09-02-14
  232. play online slots for free09-02-14