- #1

nvalia

- 4

- 0

## Homework Statement

Determine if the sequence a

_{n}converges.

a

_{n}= (13(4

^{n})+11)/(10(5

^{n}))

## Homework Equations

N/A

## The Attempt at a Solution

[tex]\lim_{n \to \infty} (\frac{(3(4^n))+11}{10(5^n)})[/tex]

= [tex]1/10 \lim_{n \to \infty} (\frac{(3(4^n))+11}{5^n})[/tex]

= [tex]1/10 \lim_{n \to \infty} (\frac{(3(4^n)}{5^{n}}) + \lim_{n \to \infty} (\frac{11}{5^n}) [/tex]

I feel like I am missing something very basic. Thank you for your help!

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