Wednesday, March 6, 2019

Limit of sin(1/n)*n

My Maple input limit(sin(1/n)*n,n=infinity); says 1.


I don't understand why $$ \lim_{n \to \infty} \sin\left(\frac{1}{n}\right) \cdot n = 1 $$


I know that $\lim_{n \to \infty} 1/n = 0$, so it kind of says "0 * infinity = 1".


Have I overlooked some rewriting of $\sin(1/n) n$?

No comments:

Post a Comment

analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...