Question

Math limit, time table problem.
Am I correct to think that the answer is Infinity?

Answer 1

No. For x=2 you have:


`f(2)=(2^2-4)/(2-2)=(4-4)/(2-2)=(0)/(0)`

This is the indeterminate form 0/0 and its value could be anything you want (0, any number or infinity).
But:


`\lim_(x\to2)(x^2-4)/(x-2)=\lim_(x\to2)((x+2)(x-2))/(x-2)=\lim_(x\to2)(x+2)=4`

So answer is B.

You could see that when you calculate

f(1.999) ≈ 3.999
and
f(2.001) ≈ 4.001