[" 6.Find the value of "a'for which the function "f" defined as "],[f(x)={[a sin(pi)/(2)(x+1),x<=0],[(tan x-sin x)/(3),quad 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

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 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 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 such that the function f defined by f(x)={((sinax)/(sinx) if xne0),(1/a 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 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,so that f(x)={a sin{(pi)/(2)(x+1)},quad if x 0 is continuous at x=0

The value of 'k' which makes the function defined by : f(x) = {:{(sin(1/x), if x ne0),(k,ifx=0):} continuous at x =0 is

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