Question

Calculus Help!!
What is the limit for this sequence?
\[a _{n}=(15+30\arctan(n!))/18^{n}\]

Answer 1

off hand i would say zero

Answer 2

as n goes to infinity so does n! and therefore arctan goes to
\[\frac{\pi}{2}\]

Answer 3

numerator therefore is finite but denominator goes to infinity very fast, so zero should do it

Answer 4

Thank you!!