Value of lim x → 0 s i n x a s i n x − 1 is

We have, lim x → 0 s i n x a s i n x − 1 = lim y → 0 y a y − 1 = lo g a , where y = sin x ∵ x → 0 ⇒ y = sin x → 0

Mathematics - Limits Question with Solution | TestHub

MathematicsLimitsAlgebraic and Rational LimitsEasy2 minPYQ_2021

MathematicsEasysingle choice

Value of $lim_{x \to 0} \frac{a ^{s i n x} - 1}{s i n x}$ is

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Answer:

Solution:

We have, $lim_{x \to 0} \frac{a ^{s i n x} - 1}{s i n x} = lim_{y \to 0} \frac{a ^{y} - 1}{y}$ $= lo g a$ , where $y = sin x$ $∵ x \to 0 \Rightarrow y = sin x \to 0$

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

⏱ 2mℹ️ Source: PYQ_2021

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