Question

Limit Help (see first reply for question)

Answer 1

Why is \[\lim_{n \rightarrow \infty} \left| \frac{ (n+1)! }{3 ^{n+1}} * \frac{3^{n} }{ n! }\right|\] equal to
\[\lim_{n \rightarrow \infty} \frac{ n+1 }{ 3 } \]

Answer 2

because, \(n!=n(n-1)! \\ (n+1)!=(n+1)n!\)
and so on.
also, \(x^{n+1}=x.x^n \)
use these and see whether you get (n+1)/3 ?