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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
MCQ
$\lim _{x \rightarrow a} \frac{\sqrt{x}-\sqrt{a}}{x-a}=$
  • ✓
    $\frac{1}{2 \sqrt{a}}$
  • B
    $\frac{1}{\sqrt{a}}$
  • C
    $\frac{2}{\sqrt{a}}$
  • D
    $\sqrt{a}$
✓

Answer

Correct option: A.
$\frac{1}{2 \sqrt{a}}$
(A)
Applying L-Hospital's Rule, we get
$\lim _{x \rightarrow a } \frac{\sqrt{x}-\sqrt{ a }}{x- a }=\lim _{x \rightarrow a } \frac{1}{2 \sqrt{x}}=\frac{1}{2 \sqrt{ a }}$

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