Mark the correct alternative in the following:
If f(x) = sin [π²] x + sin [-π²] x, where [x] denotes the greatest integer less than or equal to x, then

Question

Mark the correct alternative in the following: If f(x) = sin [π 2 ] x + sin [-π 2 ] x, where [x] denotes the greatest integer less than or equal to x, then

Philoid · Accepted Answer

[]=9 and [-]=-10

Now, f(x)=sin[π² ] x + sin[-π²]x

=sin 9x-sin 10x

Now, checking values of f(x) at given points..

=1-0

=1

Option A is correct..

f(π)=sin 9π-sin 10π

=0-0

=0

Option B & C are incorrect..

Mark the correct alternative in the following:If f(x) = sin [π2] x + sin [-π2] x, where [x] denotes the greatest integer less than or equal to x, then

Mark the correct alternative in the following:
If f(x) = sin [π²] x + sin [-π²] x, where [x] denotes the greatest integer less than or equal to x, then