Find the value of a for which the function `f` defined by `f(x)={asinpi/2(x+1),xlt=0(tanx-sinx)/(x^3),x >0"` is continous at x=0

Find the value of a for which the function f defined by f(x)={asinpi/2(x+1), ,xlt=0(tanx-sinx)/(x^3),x >0" is continuous at x=0

Find the value of a for which the function f defined by f(x)={asin(pi/2)(x+1),xlt=0(tanx-sinx)/(x^3),x >0" is continuous", at x=0

Find the value of ' a^(prime) for which the function f defined by f(x)={asinpi/2(x+1),\ \ \ xlt=0(tanx-sinx)/(x^3),\ \ \ 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),x 0 is continous at x=0

Find a for which the function f defined as (f(x)={[(asin(pi/2)(x+1)if xle0],[((tanx-sinx)/x^3)if x>0]}) 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 a' for which the function f defined by f(x)={a(sin pi)/(2)(x+1),quad x 0 is continuous at x=0

If f(x)={asinpi/2(x+1), ,xlt=0(tanx-sinx)/(x^3),x >0 is continuous at x=0 , then a equal 1/2 (b) 1/3 (c) 1/4 (d) 1/6

If f(x)={asinpi/2(x+1), ,xlt=0(tanx-sinx)/(x^3),x >0 is continuous at x=0 , then a equal (a) 1/2 (b) 1/3 (c) 1/4 (d) 1/6

Find the value of a such that the function f defined by f(x)={{:((sinax)/(sinx), "if", x ne 0),((1)/(a), "if", x=0):} is continuous at x=0