Verified answer

Firstly, rewrite 11/(1−x) − 22/(1 - x^2) into:

11(1 + x)/(1 - x^2) - 22/(1-x^2)

= (11 + 11x - 22)/(1-x^2)

= (-11 + 11x)/(1 - x^2)

= -11(1 - x)/(1 - x^2)

= -11(1 - x)/[(1 + x)(1 - x)]

= -11/(1 + x)

lim x→1 (-11/(1 + x)) = -11/2

Hope this helps!