﻿ Find the number of points where f (x) = [sin x + cos x] (where [.] denotes greatest integral function), x Ïµ [0, 2π] is not continuous. : Kaysons Education

# Find The Number Of Points Where f (x) = [sin x + Cos x] (where [.] Denotes Greatest Integral Function), x Ïµ [0, 2π] Is Not Continuous.

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## Question

### Solution

Correct option is

5

We know [.] is not continuous at integral points.

Thus, f (x) = [sin x + cos x] will be discontinuous at those points, where

sin x +  cos x is an integer, which is the case for,

.

Thus, the number of points at which f (x) is discontinuous is 5.

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