Math 2 SAT II Question From CB Test

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1

<p>What value does (ln x) / (x - 1) approach as x approaches 1?
(A) 0
(B) 0.43
(C) 1
(D) 2
(E) It does not approach a unique value.</p>

<p>The answer is C, but I picked E.
It's approaching the vertical asymptote at x = 1. Aren't limits undefined if a vertical asymptote is being approached?</p>

2

<p>Actually, I probably should have tested values of x slightly below and above 1 to see if the corresponding y-values were consistent.</p>