Evaluate:

Here we need to simplify the expression:

Thus,

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#
Stumbling Robot

A Fraction of a Dot
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Evaluate the limit

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2 comments

### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

Evaluate:

Here we need to simplify the expression:

Thus,

The 2 functions ( (x^2 – 4)/(x-2) vs. x+2 ) aren’t equivalent since one is undefined at x=2 and the other isn’t, but you can say their limits are equal since disagreeing at a single point doesn’t change the limit.

“Since disagreeing at a single point doesn’t change the limit” <- That's not exact. Since the rational function is not continuous on x = 2, by definition of limit we don't care which is the value of f in x = 2. It's not just about disagreeing at a point.