Proof of a limit using the epsilon-delta definition of a limit

I know how to do proofs of limits using the epsilon-delta definition of a limit. However I'm struggling with this particular problem:

Is this problem even possible to prove using algebraic manipulation to transform into (and arrive at some expression of delta in terms of epsilon)? Or does it require some other technique which I'm not aware of?

Re: Proof of a limit using the epsilon-delta definition of a limit

Quote:

Originally Posted by

**csstudent5000**
Is this problem even possible to prove using algebraic manipulation to transform

into

(and arrive at some expression of delta in terms of epsilon)? Or does it require some other technique which I'm not aware of?

Re: Proof of a limit using the epsilon-delta definition of a limit