Question

Limit as x->0 (tan2x/x)

Answer 1

\[\lim_{x\to0}\frac{\tan2x}{x}=\lim_{x\to0}\frac{\frac{\sin2x}{\cos2x}}{x}\cdot\frac{2}{2}=2\left(\lim_{x\to0}\frac{1}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin2x}{2x}\right)\]

Answer 2

Thank you!

Answer 3

You're welcome!