Limit as n approaches infinity [(3^n + 5^n)/(3^n+1 + 5^n+1)]

I tried to divide the numerator and denominator by 3^n. Was not successful.

What should I do next?

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- Jul 8th 2006, 05:47 PMNichelle14Find the limit
Limit as n approaches infinity [(3^n + 5^n)/(3^n+1 + 5^n+1)]

I tried to divide the numerator and denominator by 3^n. Was not successful.

What should I do next? - Jul 8th 2006, 07:03 PMThePerfectHackerQuote:

Originally Posted by**Nichelle14**

Thus,

as - Jul 8th 2006, 07:07 PMThePerfectHacker
Also,

Since,

Thus,

by the squeeze theorem. - Jul 8th 2006, 09:29 PMSoroban
Hello, Nichelle14!

Quote:

I tried to divide the numerator and denominator by . . .Was not successful.

What should I do next?

Divide top and bottom by

The numerator is: .

The denominator is: .

Recall that: if , then

Therefore, the limit is: .

- Jul 9th 2006, 07:19 PMmalaygoelQuote:

Originally Posted by**Soroban**

Keep Smiling

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