If `f: RR -> RR` defined by `f(x) = {(a^2cos^2x+x^2sin^2x;, x <= 0), (e^(ax+b);, x > 0):}` is continuous at `x=0`.

If f(x) ={(a^2 cos^2 x+b^2 sin^2 x"," , x 0):} f(x) is continuous at x=0 then

If f:R rarr R defined by f(x)={[a^(2)cos^(2)x+x^(2)sin^(2)x,,x 0] is continuous then

Is f defined by f(x) = {((sin 2x)/x, if x != 0),(1, if x = 0):} continuous at 0?

The function f : RR to RR is defined by f(x) = sin x + cos x is

Let f : RR to RR be given by f(x) = x+ sqrt(x^(2)) is

Is f defined by f(x)={{:((sin2x)/(x),"if "xne0),(1,"if "x=0):}" continuous"0 ?

A function f(x) is defined as below f(x)=(cos(sin x)-cos x)/(x^(2)),x!=0 and f(0)=a f(x) is continuous at x=0 if 'a' equals