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

Given that lim f(x)=L as x approaches a , prove that lim (x+f(x))=a+L as x approaches a View 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

2. Relevant equations

3. The attempt at a solution

attempt is in the attatchment

**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!

# Delta epsilon limits

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