hey can someone help me out with this limit

lim (n*19^n) / (20^n)
n->∞


thanks

You can use the ratio test to test convergence.





The limit is < 1, therefore, it converges. But to what? Just look at the denominator, that should tell you something; It's larger than the numerator. Plug in some larger and larger values. What does it approach?

Try rewriting it as .

See what the limit is now?

This problem would be more interesting of you had to find the sum of the series.