Hey anyone please solve it 30 Let f(x) = [cos x + sin x], 0 x - Maths - Continuity and Differentiability

Question

Hey anyone please solve it

30 Let f(x) = [cos x + sin x],
0 < x < 2π where [x] denotes the
greatest integer less than or equal to x
The number of points of discontinuity of f(x)
is
(A) 6
(B) 5
(C) 4
(D) 3

Shubham Kumar Jha · Accepted Answer

Dear Student,
Here is an attached solution to your question
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5cf11933c3371%20jpg">

Thanks & Regards

Hey anyone please solve it 30. Let f(x) = [cos x + sin x], 0 < x < 2π where [x] denotes the greatest integer less than or equal to x. The number of points of discontinuity of f(x) is (A) 6 (B) 5 (C) 4 (D) 3

Hey anyone please solve it

30. Let f(x) = [cos x + sin x], 0 < x < 2π where [x] denotes the greatest integer less than or equal to x.
The number of points of discontinuity of f(x) is
(A) 6
(B) 5
(C) 4
(D) 3