Value of a so that `f(x) = (sin^(2)ax)/(x^(2)), x != 0 ` and f(0) = 1 is continuous at x = 0 is

If f(x)=(sin^(2)ax)/(x^(2))" for "x ne 0, f(0)=1 is continuous at x=0 then a=

Value of f(0) so that f(x) = (sin(x^(2)+4x)-sin 4x)/(x tan x ) x != 0 , is continuous at x = 0 is

Show that f(x) = x sin ((1)/(x)), x ne 0 , f(0) = 0 is continuous at x = 0

f(x) - (1- cos (ax))/( x sin x) , x ne 0, f(0) = 1/2 is continuous at x = 0 , a =

Find the value of a for which f(x)={(sin^2(ax)/(x^2), "" xne0),(1, x=0 ""):} is continuous at x = 0

The value of 'a' for which f(x)= {((sin^2 ax)/(x^2)", " x ne 0 ),(1", "x=1):} is continuous at x=0 , is

The value of 'a' for which f(x)= {((sin^2 ax)/(x^2)", " x ne 0 ),(1", "x=1):} is continuous at x=0 , is

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 .

Prove that f(x)={(sin^(2)ax)/(1),x!=01 and 1,x=0 is not continuous at x=0