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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
MCQ
$\lim _{x \rightarrow 1} \frac{\log x}{x-1}=$
  • ✓
    1
  • B
    -1
  • C
    $0$
  • D
    $\infty$
✓

Answer

Correct option: A.
1
(A)
$\lim _{x \rightarrow 1} \frac{\log [(x-1)+1]}{x-1}=1$
Alternate method:
Applying L-Hospital's rule, we get
$\lim _{x \rightarrow 1} \frac{\log x}{x-1}=\lim _{x \rightarrow 1} \frac{\frac{1}{x}}{1}=1$

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