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\lim _{x \rightarrow 5 \pi / 4}[\sin x+\cos x], where [.] denotes the integral part of x

Option: 1

Is equal to -1


Option: 2

Is equal to -2


Option: 3

Is equal to -3


Option: 4

Does not exist


Answers (1)

best_answer

Given limit is

\lim _{x \rightarrow \frac{5-\pi}{4}}\left[\sqrt{2} \sin \left(x+\frac{\pi}{4}\right)\right] \\

\lim _{x \rightarrow \frac{5-\pi}{4}+}\left[\sqrt{2} \sin \left(x+\frac{\pi}{4}\right)\right]=-2, \lim _{x \rightarrow \frac{5-\pi}{4}-}\left[\sqrt{2} \sin \left(x+\frac{\pi}{4}\right)\right]=-2

Posted by

Irshad Anwar

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