Let `f(x)={[sin(pi x)/(2),0<=x<1],[3-2x,x>=1]` ,then check continuity at `x=1`

f(x)=x o* g(x)=[(sin pi)/(x),x!=0;0x=0 check continuity of f(x)+-g(x)

Let f(x) = sin"" 1/x, x ne 0 Then f(x) can be continuous at x =0

Let f(x) = sin"" 1/x, x ne 0 Then f(x) can be continuous at x =0

Find the value of a,so that f(x)={a sin{(pi)/(2)(x+1)},quad if x 0 is continuous at x=0

Let f(x){:{(1+sinx", "xlt0),(x^(2)-x+1", "xge0):} Then Check its continuity at x=0

Find the value of a' for which the function f defined by f(x)={a(sin pi)/(2)(x+1),quad x 0 is continuous at x=0

Let [x] denote the greatest integer less that or equal to x. If f(x) = [x sin pi x] , then f(x) is (a) Continuous at x = 0 (b) Continuous in (-1, 0) (c) Differentiable at x = 1 (d) Differentiable in (-1, 1)

f(x)={1;x<0 and 1+sin x;f or 0<=x<=(pi)/(2), then check the differentiability of the function f(x) at x=0.

Let f(x)=(1-sin x)/((pi-2x)^(2))*(ln(sin x))/(ln(1+pi^(2)-4 pi x+4x^(2))),x!=(pi)/(2). The value of f((pi)/(2)) so that the function is continuous at x=(pi)/(2) is: