Question

Evaluate the following limits.

lim(x→1) (x^-1)/(x-1)

Answer 1

lim(x→1) (x^-1)/(x-1)

Simplify the expression (x^-1).

(x^-1).=(x+1)(x-1).

lim(x→1) (x^-1)/(x-1)=lim(x→1) (x+1)(x-1)/(x-1)

                                   =lim(x→1) (x+1)

                                  =(1+1)

                                   = 2