Evaluate the limit.

We use the expansions on page 287 for and ,

Then we compute the limit,

Skip to content
#
Stumbling Robot

A Fraction of a Dot
#
Find the limit as *x* goes to 0 of the given expression

###
One comment

### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

Evaluate the limit.

We use the expansions on page 287 for and ,

Then we compute the limit,

My intuition was this one diverges. I was thinking cosx near 0 acts like x^2 (from Pythagorean) whereas log @1 acts like x. Indeed, log(1+x)/1-cosx diverges, and so does x/1-cosx . Very curious, this one…..