I'm trying to solve this algebraically and substitute to evaluate the limit. I couldn't figure out how to factor the top part...that or the limit just does not exist. Any help would be much appreciated
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since the denominator is zero when you plug in 2, the limit is undefined.
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Have you stated question correctly ? Verify
If the question is correctly stated then the limit is found by direct substitution.
The result is 4 / 0 = infinity
If the question is correctly stated then the limit is found by direct substitution.
The result is 4 / 0 = infinity
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lim (x^3-2x)/x-2
x^3/x + x^3/-2 -2x/x -2x/-2
x^2 -x^3/2 - 2 +x
x^2 +x -2 -x^3/2
(x-2)(x+1) - x^3/2
put x=2
0 -8/2 = -4
x^3/x + x^3/-2 -2x/x -2x/-2
x^2 -x^3/2 - 2 +x
x^2 +x -2 -x^3/2
(x-2)(x+1) - x^3/2
put x=2
0 -8/2 = -4
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Two sided limit does not exist