Question

Evaluate the following limit:
lim x-> 3 4x^2-36/2x-6

Answer 1

\[=4x^2-36\div2x-6 \]
Factor numerator and denominator.
\[(2x-6)(2x+6)\div(2(x-3))\]
0/0 limit does not exist using this method.
Change of variable does nothing.
no need to rationalize, no roots.
One sided limits does this:
\[f(x)={(4x ^{2}-36)\div(2x-6) UNDER -(4x^{2})-36\div(2x-6)}\]
\[{=x>3, x \le3}\]
THEREFORE the limit does not exist, no possible way to Evaluate it and get an existent limit.

Answer 2

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Answer 3

LOL

Answer 4

:P

Answer 5

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Answer 6

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