SOLUTION: What is the value of the limiting problem lim (x+h)^3 – x^3/ h h→0

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Question 254557: What is the value of the limiting problem lim (x+h)^3 – x^3/ h
h→0
Answer by solver91311(24713) About Me  (Show Source):
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Expand the binomial:



Collect terms:



Factor the numerator:



Eliminate the common factor in the numerator and denominator:



Evaluate the limit:



In general:



John