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

use the elipson-delta of a limit to justify the answer of: show proof

lim x->0 1/(x+1)

2. Relevant equations

lim x->0 1/(x+1)=1

3. The attempt at a solution

lim x->0 1/(x+1)

I did some work but after that I don't know how to keep going.

if 0<|x-c|<δ => |f(x)-<ε|, then lim x->c f(x)=L

0<|x-0|<δ=> |1/(x+1)-1|

scratchwork: |1/(x+1)-1|<ε

|x/x+1|<ε

|x|/|x+1|<ε

|x|<|x+1|ε

restrict |x|<1/2

-1/2<x<1/2=>1/2<x+1<3/2=>1/2 <|x+1|

|x|<|x+1|ε

|x|<1/2 ε

δ=min{1/2,1/2ε}

how do I find the proof ??

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# Ε-δ definition of a limit

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