lim (x⁻¹-1)⁄x-1 as x approaches 1.

I know the answer is -1 but I am not sure how to solve the numerator x⁻¹-1.

2 answers

(x⁻¹-1) / x-1
x⁻¹-1 = 1/x - 1 = (1-x)/x

So, your fraction is just

(1-x)/x
---------- = -1/x
x-1