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## Homework Statement

Determine the limit l for a given a and prove that it is the limit by showing how to find δ such that |f(x)-l|<ε for all x satisfying 0<|x-a|<δ.

f(x)=[itex]x^{4}+\frac{1}{x}[/itex], a=1.

## Homework Equations

I claim that [itex]\lim\limits_{x\rightarrow 1}x^{4}+\frac{1}{x}=2[/itex].

## The Attempt at a Solution

I tried things like solving for x but all my attempts were fruitless. Could anyone point me in the right direction?