JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

The value of

\lim\limits_{x \to \infty } x\cos \left( {\frac{\pi }{{4x}}} \right)\sin \left( {\frac{\pi }{{4x}}} \right)

, is

View answer and explanation

Correct option: B

\frac{\pi }{4}

Option B (

\frac{\pi }{4}

) is correct because by using the identity

2\sin x \cos x = \sin 2x

and the limit

\lim_{x \to 0} \frac{{\sin x}}{x} = 1

, the given limit simplifies to

\frac{\pi }{4}

More Questions from LIMITS

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