Question bank/JEE Main/Mathematics

JEE MainMathematicsEasyLimits

lim⁡x→0\mspace2mu1−cos2xx=\lim_{x \rightarrow 0}\mspace{2mu}\frac{\sqrt{1 - cos2x}}{x} =

Show answer and solution
lim⁡x→0\mspace2mu2∣sinx∣x\lim_{x \rightarrow 0}\mspace{2mu}\frac{\sqrt{2}|sinx|}{x}
L.H.L
=−2= - \sqrt{2}
R.H.L.
=2= \sqrt{2}
Both are not equal.

Source: Grass-G / M-19 Mathematics Paper 28 Nov Fourth.docx

Need a video for this idea?

Scan any doubt from your notes and get a whiteboard explanation.