Question

Question #8bf52

Answer 1

`lim_(n->oo)cos(1/n)=1`

Explanation:

Assuming you want to find `lim_(n->oo) cos(1/n)`, we use the following method.

Apply the Continuous Function for Limits theorem:

`lim_(x->c) f(g(x))=f(lim_(x->c)g(x))`

provided that `lim_(x->c)g(x)` exists and `f` is continuous at that point.

So,

`lim_(n->oo) cos(1/n)=cos (lim_(n->oo) (1/n))=cos0=1`