Hi guys,(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

I'm trying to calculate the limit of the following sequence:

an:= ([itex]\frac{n^{2}+10}{n^{2}-5n}[/itex])[itex]^{(3n^{2}+2)}[/itex]

2. The attempt at a solution

Ok so I got this so far:

an = [itex]\left(\frac{\left(n^2\left(1+\frac{10}{n^2}\right)\right)}{\left(n^2\left(1-\frac{5}{n}\right)\right)}\right)^{n^{2}(3+\frac{2}{n})}[/itex]

[itex]\lim_{n\to \infty }[/itex] an = [itex]\lim_{n\to \infty }[/itex] 1[itex]^{∞}[/itex]

So this is what I got till now and I don't know really how to proceed or how can I approach this problem differently to find the correct solution which is ∞.

Any help, tips are welcome.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Calculating a limit of a sequence

**Physics Forums | Science Articles, Homework Help, Discussion**