" Find the value of a,so that "f(x)={[a sin{(pi)/(2)(x+1)}," if "x<=0],[(tan x-sin x)/(x^(3))," if "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

Find the value of f(0) so that f(x) = (1)/(x) - (2)/(e^(2x) -1) , x ne 0 is continuous at x = 0 .

Find the value of 'a' so that If f(x) = (1 - tanx)/(4x -pi) , x ne (pi)/(4) , is continuous on (0, (pi)/(2)), " find f " ((pi)/(4)) .

Find the value of f(0) so that f(x) = ((a + x)^(2) sin (a + x) - a^(2) sin a)/(x) is continuous at x = 0 .

Find the value of f(0) so that f (x) = (1 + 2x)^(1//3x) is continuous at x = 0

Find the value of 'a' for which the function f defined as f(x) = {(a sin""(pi)/(2)(x+1)",",x le 0),((tan x - sin x)/(x^(3))",", x gt 0):} is continuous at x = 0.

Find the value of AO) so that the function f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)/(x) is continuous at x = 0.

Find the value of a, so that the function f(x) is defined by f(x)={{:((sin^(2)"ax")/(x^(2))", "x!=0),("1, "x=0):} may be continuous at x=0.

Find the value of f(0) so that f(x) = (1 + x)^(1//5x) is continuous at x = 0 .

Find the value of f(0) so that f(x) = (1 + 5x)^(1//x) is continuous at x = 0 .