A Level

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Compute

\displaystyle\lim_{x\to 0^{+}}\left(\frac{1}{x}-\frac{1}{\ln(1+x)}\right)

. (a) 0 (b)

\dfrac{1}{2}

(c)

-\dfrac{1}{2}

(d) The limit does not exist because the expression diverges to

\infty