- #1
proace360
- 27
- 0
Homework Statement
My calc teacher says that we should do the problem "by series", even though it is in the section of the book where the teach L'Hopital's rule.
For example, one of the questions is:
[tex]
\lim_{x\rightarrow 0} \frac{sin(x)}{\sqrt{x}}
[/tex]
The Attempt at a Solution
Using L'Hopital's rule, you eventually get 0.
I managed to make a series for it...
[tex] \sum_{n=0}^\infty \frac{\frac{(-1)^n\*x^{2n+1}}{(2n+1)!}}{x^\frac{1}{2}} [/tex]
but after that, i don't know what to do