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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
MCQ
$\lim _{x \rightarrow 0} \frac{\tan x}{1-\sqrt{1+\tan x}}=$
  • A
    -1
  • B
    2
  • ✓
    -2
  • D
    1
✓

Answer

Correct option: C.
-2
(C)
$\lim _{x \rightarrow 0} \frac{\tan x}{1-\sqrt{1+\tan x}}=\lim _{x \rightarrow 0} \frac{\tan x(1+\sqrt{1+\tan x})}{1-1-\tan x}$
$=-\lim _{x \rightarrow 0}(1+\sqrt{1+\tan x})$
$=-(1+\sqrt{1+\tan 0})=-2$

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