lim x → 0 x 2 2 s i n 2 3 x is equal to

Consider lim x → 0 x 2 2 s i n 2 3 x = 2 ⋅ lim x → 0 [ x s i n 3 x ] 2 = 2 ⋅ lim x → 0 [ 3 3 x s i n 3 x ] 2 = 2.9 lim x → 0 ( 3 x s i n 3 x ) 2 = 18 × 1 = 18

Mathematics - Limits Question with Solution | TestHub

MathematicsLimitsAlgebraic and Rational LimitsEasy2 minPYQ_2021

MathematicsEasysingle choice

$lim_{x \to 0} \frac{2 s i n ^{2} 3 x}{x ^{2}}$ is equal to

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Answer:

Solution:

Consider $lim_{x \to 0} \frac{2 s i n ^{2} 3 x}{x ^{2}}$ $= 2 \cdot lim_{x \to 0} [\frac{s i n 3 x}{x}]^{2} = 2 \cdot lim_{x \to 0} [3 \frac{s i n 3 x}{3 x}]^{2} = 2.9 lim_{x \to 0} (\frac{s i n 3 x}{3 x})^{2} = 18 \times 1 = 18$

Stream:BITSATSubject:MathematicsTopic:LimitsSubtopic:Algebraic and Rational Limits

⏱ 2mℹ️ Source: PYQ_2021

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