- #1
Yegor
- 147
- 1
Hello!
[tex]
\lim_{x\rightarrow 0} \frac{-x(1 -\cos x)}{\sin x - x}
[/tex]
I solved this limit using L'Hopital and expanding trigonometric functions to series.
But i have to solve it using algebraic tools (without series). I don't know how to do it. [tex]\sin x - x[/tex] looks difficult to deal with.
[tex]
\lim_{x\rightarrow 0} \frac{-x(1 -\cos x)}{\sin x - x}
[/tex]
I solved this limit using L'Hopital and expanding trigonometric functions to series.
But i have to solve it using algebraic tools (without series). I don't know how to do it. [tex]\sin x - x[/tex] looks difficult to deal with.
Last edited: