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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
MCQ
$\lim _{x \rightarrow 0} x^x=$
  • A
    $0$
  • ✓
    1
  • C
    e
  • D
    None of these
✓

Answer

Correct option: B.
1
(B)
$\lim _{x \rightarrow 0} x^r=\lim _{x \rightarrow 0} 0^{\log _e x^x}$
$= e ^{\lim _{x \rightarrow 0} x \log x}$
$= e ^{\lim _{x \rightarrow 0} \frac{\log x}{\frac{1}{x}}}$
$= e ^0$
$=1$

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