Examine the function `f(t)` given by `f(t)={(cost)/(pi//2-t);\ \ \ t!=pi//2 1;\ \ \ \ \ \ \ \ \ \ t=pi//2` for continuity at `t=pi//2` .

Examination the function f(t) given by f(x)={(cosx)/(pi/2-x); for continuity at x=pi/2

Find the value of a for which the following function is continuous at a given point. f(x)={(1-sinx)/(pi-2x),\ x!=pi/2a ,\ x=pi/2a t\ x=pi/2

If the function f(t) is continuous and given by f(t)={[at^(2)+3;,t>-5bt+2;,t<=-5 then which is/are correct

A function y=f(x) is given by x=(1)/(1+t^(2)) and y=(1)/(t(1+t^(2))) for all t>0 then f is

Let [t] denote the greatest integer lt t . The number of points where the function f(x) = [x]abs(x^2-1) + sin (pi/([x] + 3)) - [x + 1], x in (-2, 2) is not continuous is _________.

Maximum vlaue of the function f (x) = pi^(2) int _(0)^(2)t sin (x+ pi t ) dt over all real number x:

Plot the graph of the function f(x)=lim_(t rarr0)((2x)/(pi)(tan^(-1)x)/(t^(2)))

A particle is moving with an acceleration given by, a=-cos t ; where time t is in seconds and a is in m/s ^(2) . It is given that at t=0, u=0 and x=1 .Find distance travelled by particle from pi to 2 pi .

The period of the function y=sin(2 pi t+(pi)/(3))+2sin(3 pi t+(pi)/(4))+3sin5 pi t is