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March 11th, 2012, 12:35 PM   #1
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find the limit

how to show that lim(x->0) ((1+x/2)log(1+x)-x)/(x^3) exists?

i don't know how to begin cause both the numerator and denominator are 0 when x =0
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March 11th, 2012, 12:41 PM   #2
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Re: find the limit

Have you been given L'H˘pital's rule? Also, is the base of the log function e or 10?
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March 11th, 2012, 04:13 PM   #3
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Re: find the limit

Quote:
Originally Posted by MarkFL
Have you been given L'H˘pital's rule? Also, is the base of the log function e or 10?
i know use the l hopitals rule can find the limit , but it is based on it is differentiable , now i have to prove that the limit exists first . and the base is e
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March 11th, 2012, 05:49 PM   #4
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Re: find the limit

You're going to want to use the ?-? definition of a limit.
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