Question

Find the limit as arctan(2n/ (2n+1)) when n approaches infinity.

Answer 1

?

Answer 2

\[\lim_{2n\to \infty}\frac{2n}{2n+1}=1\]

Answer 3

But it is arctan?

Answer 4

yes and artan is a continuous function

Answer 5

I'm sorry, but how does the relate? :)

Answer 6

that*

Answer 7

making your answer
\[\arctan(1)\]

Answer 8

So we are able to find the limit of the inner function then apply the outer function to the result of the inner limit?

Answer 9

yes, if it is continuous