Question

What is the limit of the sequence 9^(n+1)/10^n. Thanks :)

Answer 1

\[\large
\frac{9^{n+1}}{10^n} = \frac{9*9^{n}}{10^n} = 9*\left(\frac {9}{10}\right)^n
\]

Answer 2

As n->infinity, (9/10)^n -> ?

Answer 3

0?

Answer 4

Yes.

Answer 5

Thank you!

Answer 6

You are welcome.