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NDA 2022

Exam: NDA
Year: 2022
Subject: Mathematics
Chapter: Limits

NDA 2022 · Mathematics · Limits

What is _ x arrow (x)/(2) (4 x-2 π)/( x) equal to?

What is

\lim _{x \rightarrow \frac{x}{2}} \frac{4 x-2 \pi}{\cos x}

equal to?

Options

A $-4$
B $-2$
C $2$
D $4$

Correct answer

A. $-4$

Step-by-step solution

\lim _{x \rightarrow \frac{\pi}{2}} \frac{4 x-2 \pi}{\cos x}

Apply L' Hospital rule.

\lim _{x \rightarrow \frac{\pi}{2}} \frac{4}{-\sin x}=-4

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