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## Homework Statement

Is the sequence x

_{n}=[(n

^{5}+7n+3)

^{7}]/[(7-n

^{4})

^{6}] bounded?

]

## 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.