Posted by **June** on Friday, October 26, 2012 at 5:36pm.

Compute each of the following limits if they exist.

lim 3x^(2)-x-2

x->2

lim (x^(2)+x-6)/(x-2)

x->2

- calculus -
**Steve**, Friday, October 26, 2012 at 5:49pm
#1: easy, since polynomials are continuous. f(2) = 8, which is the limit

#2:

x^2+x-6 = (x+3)(x-2)

so, f(x) = x+3 everywhere except at x=2. There it is undefined, but the limit is 5 from both sides.

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