More limits

  • Thread starter rambo5330
  • Start date
  • #1
84
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Homework Statement


lim (x->0) of (x - Sinx) / x^3


Homework Equations





The Attempt at a Solution


I would like to know the proper route for analyzing that question... the text is saying i should end up with 1/6 ...however I'm not sure how they arrived at that answer ...
 

Answers and Replies

  • #2
29
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Are you familiar with l'hopitale's rule?

if lim (x->0) a/b = 0/0 or infinity/infitity then lim (x->0) a/b = lim (x->0) a'/b'
 
  • #3
84
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not familiar with that yet ....
 
  • #4
35,426
7,287
Another approach is to replace sin x by a few terms of its Maclaurin series, but if you don't know L'Hopital's Rule, you probably don't know anything about series yet, either. Short of those two techniques, I can't think of anything else that would work for you.
 

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