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## Homework Statement

Prove lim x--> -1

1/(sqrt((x^2)+1)

using epsilon, delta definition of a limit

## Homework Equations

## The Attempt at a Solution

I know that the limit =(sqrt(2))/2

And my proof is like this so far. Let epsilon >0 be given. We need to find delta>0 s.t. if 0<lx+1l<delta, then l[1/(sqrt((x^2)+1)]-(sqrt(2))/2l < epsilon. So we need to pick delta= ?

I'm not sure how to arrive at the delta. I know I have to work out what's inside the absolute values, but I'm getting stuck.