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Question: \(\underset{x \rightarrow \frac{\pi}{2}}{Lim}\) (x tan x –(π/2) sec x) equals to...

Limx→π2\underset{x \rightarrow \frac{\pi}{2}}{Lim} (x tan x –(π/2) sec x) equals to

A

–1

B

0

C

1

D

2

Answer

–1

Explanation

Solution

x. tan x – π/2 sec x From ∞ – ∞

⇒.

Form 0/0 ⇒0+sin⁡(π/2)−sin⁡(π/2)\frac { 0 + \sin ( \pi / 2 ) } { - \sin ( \pi / 2 ) } = –1