Calculas

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.

asked by Jake
  1. (x⁻¹-1) / x-1

    posted by Jake
  2. x⁻¹-1 = 1/x - 1 = (1-x)/x

    So, your fraction is just

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

    posted by Steve

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