how to go about

if f(x) = [sin x + cos x] where 0< x < 2∩

[.] = greatest integer function

no. of points of discontinuity is

ans =5

how to go about???

if we draw the graph using ∩/4 as a unit and get the points of discontinuity

is this the correct method???

3 Answers

62
Lokesh Verma ·

best approach would be √2 (sin x + pi/4)

Then see where it becomes an integer...

49
Subhomoy Bakshi ·

Is there any other approach that what u said to successfully solve the question?

1
aditya ravichandran ·

the graphical approach

from the graph of √2 (sin(x+π4))

we can draw the graph of

[√2 (sin(x+π4))]

the green color is the graph of

[√2 (sin(x+π4))]

answer comes out to be 5

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