- #1

doktorwho

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## Homework Statement

Using the taylor series at point ##(x=0)## also known as the meclaurin series find the limit of the expression:

$$L=\lim_{x \rightarrow 0} \frac{1}{x}\left(\frac{1}{x}-\frac{cosx}{sinx}\right)$$

## Homework Equations

3. The Attempt at a Solution [/B]

##L=\lim_{x \rightarrow 0} \frac{1}{x}\left(\frac{sinx-xcosx}{xsinx}\right)##

##L=\lim_{x \rightarrow 0} \frac{1}{x^2}\left(\frac{sinx-xcosx}{sinx}\right)##

I need help to continue. This is the first problem I am doing that asks me to claculate the limit using the taylor series. Am i suppose to write the taylor series for ##sinx,cosx## up to some element and somehow use them?