# MATH - Calculus

Evaluate the following limit:

e) lim f(x)-f(a) / x - a
x->a

if f(x) = x^2 + 5

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1. Are you certain that is the problem? What you have is 0/0 when evaluated

Check the problem please, make certain you have it as assigned.

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2. yes I know, it is supposed to give 0/0 and they ask us to manipulate the limit algebraically in order to be able to factorize

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3. and it's the factorization that I can't seem to come up with, thanks for your quick answer too

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4. = lim ( x^2 + 5 - a^2 - 5)/(x-a) , as x--> a
= lime (x+a)(x-a)/(x-a) , as x--> a
= lim 1/(x+a) , as x--> a
= 1/(2a)

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