It probably requires three applications of l'Hopital's Rule. Personally, I'd substitute the power series for sin(x) and sin(2x), simplify and then take the limit.
It probably requires three applications of l'Hopital's Rule. Personally, I'd substitute the power series for sin(x) and sin(2x), simplify and then take the limit.
Are you sure it's $\displaystyle x \rightarrow + \infty$? (By the way, you have $\displaystyle {\color{red}n} \rightarrow + \infty$ .... ) Because I doubt the limit exists if that's the case.
Are you sure it's $\displaystyle x \rightarrow + \infty$? (By the way, you have $\displaystyle {\color{red}n} \rightarrow + \infty$ .... ) Because I doubt the limit exists if that's the case.