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## Homework Statement

Given that lim f(x)=L as x approaches a , prove that lim (x+f(x))=a+L as x approaches aView attachment 9630. Your proof cannot assume that the limit of a sum of two functions is the sum of their individual limits. You must use the delta-epsilon definition of limit in your proof.

and

Given that lim f(x)=L as x approaches a , prove that lim x*f(x)=aL as x approaches a

## Homework Equations

## The Attempt at a Solution

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