Lim [(x+h)²ln(x+h) - x²ln(x)] / h
h→0
Of course this is finding the derivative of the obvious function, but I would like to know if anyone can evluate this WITHOUT using L'Hospital.
Thanks.
Hello,
As I clearly stated, I know this is the derivative of a function. What I am asking is how to evaluate the limit. That is, rearrange the terms or use other algebraic manipulations so that the limit is clearly seen. So, anyone else?
How do you evaluate the limit of the expression without using L'Hospital's rule.
Thanks.
Hello, spammanon!
An interesting challenge . . .
Given: . , find
. . using the defintion of the derivative: .
The numerator is: .
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. . .
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Divide by
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. . .
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Take the limit: .
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. . .
. . .
Therefore: . . . . ta-DAA!