SOLUTION: i need your help to find the limit of a function. as x approaches 0, 3x/x^3-x (3 times x divided by x to the power of 3 minus x) i've tryed to find an answer to this for day

Algebra ->  Algebra  -> Functions -> SOLUTION: i need your help to find the limit of a function. as x approaches 0, 3x/x^3-x (3 times x divided by x to the power of 3 minus x) i've tryed to find an answer to this for day      Log On

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Question 130252: i need your help to find the limit of a function.
as x approaches 0, 3x/x^3-x (3 times x divided by x to the power of 3 minus x)
i've tryed to find an answer to this for days, but am drawing a blank.
thanks in advance
oh yeah, answer says its -3
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Find the limit, as x approaches zero, of:
3x%2F%28x%5E3-x%29 First, factor an x from the denominator.
3cross%28x%29%2Fcross%28x%29%28x%5E2-1%29 Cancel the the indicated x's
3%2F%28x%5E2-1%29 Now you can see that, as x approaches zero, the denominator gets closer and closer to -1.
So the limit is3%2F%280-1%29 or -3