Calculate the limit of the function f(x)=(x^2-1)/(x-1) x-->1.

Expert Answers

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lim f(x) = lim (x^2-1)/(x-1)  x--> 1

By substitution :

lim f(x) = 0/0   (method has failed because 1 is a root for both numerator and denominator

Let us factor:

lim f(x) = lim (x-1)(x+1) /(x-1)

            = lim (x+1) 

Then,

lim f(x) when x--> 1 = (1+1) = 2

Then the limit is 2

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