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## Homework Statement

What is Lim (1+x

^{2})/(4-x) as x approaches 4 from the left? Prove using the definition.

## Homework Equations

## The Attempt at a Solution

Well x≠4. Function approaches positive infinity as x approaches 4 from the left side. Let m>0 and 0<x<4.

Then (1+x

^{2})/(4-x) > x

^{2}/(4-x) > x/(4-x) > m when x...here I am stuck.

So basically I need to show that if x>x

_{m}then (1+x

^{2})/(4-x) >m?

But at some point the same function approaches negative infinity so do a choose x

_{m}=(something, 4)?

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