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

Evaluate the limits in the terms of the constants involved:

[itex]\lim_{x \rightarrow a} \frac{(x+a)^2-4x^2}{x-a}[/itex]

2. Relevant equations

3. The attempt at a solution

First I plugged in a to make sure it was indeterminate and it was it ends up being 0/0.

So I tried to break this up into the difference of two limits;

[itex]\lim_{x \rightarrow a} \frac{(x+a)^2}{x-a}[/itex] -[itex]\lim_{x \rightarrow a} \frac{4x^2}{x-a}[/itex]

but I again got stuck and I'm not even sure if this attempt is the correct way to go, I also tried to split the numerator into the difference of two squares but that lead to nothing, I'm not really sure where to go from here I'd appreciate it if someone could point me in the right direction.

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# Homework Help: Limit problem

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