Question

Determine whether the sequence a(n)=arctan(20n^18) converges or diverges.

Answer 1

if it converges find the limit

Answer 2

i may be wrong.
\[\tan \frac{ \pi }{ 2 }\rightarrow \infty\]
\[\tan^{-1} \infty =\frac{ \pi }{ 2 }\]
\[a _{n}=\frac{ \pi }{ 2 },as~n \rightarrow \infty \]
or an not approaches 0 as n approaches infinity
so an diverges.

Answer 3

ok thank you :)

Answer 4

yw