Lim X → 0 3 Sin 2 X − 2 Sin X 2 3 X 2 - Mathematics

$\lim_{x \to 0} \frac{3 \sin^2 x - 2 \sin x^2}{3 x^2}$

Solution

$\lim_{x \to 0} \left[ \frac{3 \sin^2 x - 2 \sin x^2}{3 x^2} \right]$
$= \lim_{x \to 0} \left[ \frac{3 \sin^2 x}{3 x^2} - \frac{2 \sin x^2}{3 x^2} \right]$
$= 1 - \frac{2}{3}$
$= \frac{1}{3}$

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 29 Limits
Exercise 29.7 | Q 43 | Page 51