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.
Evaluate the following limit:
e) lim f(x)-f(a) / x - a
x->a
if f(x) = x^2 + 5
4 answers
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
and it's the factorization that I can't seem to come up with, thanks for your quick answer too
= 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)
= lime (x+a)(x-a)/(x-a) , as x--> a
= lim 1/(x+a) , as x--> a
= 1/(2a)