`f(x)={{:asin{( pi/2)(x+1)},x<=0,(tan x-sin x)/(x^(3)),x>0:}`is continuous at x=0 .Then a=

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

f(x)=[tan(pi/4+x)]^(1/x), x!=0 and f(x)=k, x=0 is continuous at x=0 then k=

The function f(x)=((3^(x)-1)^(2))/(sin x*ln(1+x)),x!=0, is continuous at x=0, Then the value of f(0) is

If f(x) = (2x+ tanx)/(x) , x!=0 , is continuous at x = 0, then f(0) equals

if f(x)=(cos^(2)x-sin^(2)x-1)/(sqrt(x^(2)+1)-1),x!=0 and f(x)=k,x=0 is continuous at x=0 then k=

If f(x)=[tan((pi)/(4)+x)]^((1)/(x)),xne0" " f(x)=k , "x=0 , " is continuous at x=0 " Then k= . . . .

If f(x) = (tan(x^(2)-x))/(x), x != 0 , is continuous at x = 0, then f(0)is

A function f(x) is defined as follows f(x)={(sin x)/(x),x!=0 and 2,x=0 is,f(x) continuous at x=0? If not,redefine it so that it become continuous at x=0 .

If f(x) = (e^(x)-e^(sinx))/(2(x sinx)) , x != 0 is continuous at x = 0, then f(0) =