lim x → 1 log x ( 1

Given function lim x → 1 log x ( 1 - x ) forms a 0 0 form. Using L'Hospital's Rule, we get lim x → 1 log x ( 1 - x ) = lim x → 1 1 x - 1 = - 1

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\lim_{x \to 1} \frac{\log x}{(1 - x)} =

MathematicsLimitsTS EAMCETTS EAMCET 2021 (04 Aug Shift 1)

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2658 Upvotes Verified Answer

The correct answer is:

- 1

Given function $\lim_{x \to 1} \frac{\log x}{(1 - x)}$ forms a $\frac{0}{0}$ form.

Using L'Hospital's Rule, we get

$\lim_{x \to 1} \frac{\log x}{(1 - x)} = \lim_{x \to 1} \frac{\frac{1}{x}}{- 1} = - 1$

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