(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Is the sequence x_{n}=[(n^{5}+7n+3)^{7}]/[(7-n^{4})^{6}] bounded?

]

3. The attempt at a solution

I've managed to tell that the sequence is not bound because as n tends to ∞ x_{n}also tends to ∞ but it took me a relatively long time.

Is there any way of telling this by just looking at the exponents or what is the quickiest way to tell that this sequence will get infinitely large.

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

Dismiss Notice

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: Unbounded Sequence

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