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**