If `f(x)={{:((sin2x)/(cx)+(x)/((sqrt(x+a^(2))-a)),,,xne 0"," (alt0)),(b,,,x=0","(bne0)):}`
and f(x) is continuous at x = 0, then the value of bc is equal to

If f(x)={((3 sin pi x)/(5x)"," , xne 0),(2k",", x =0):} is continuous at x = 0, then the value of k is equal to

If f(x)=(sinx)/(x)(xne0) is continuous at x=0, then the value of f(0) will be

If f(x) = (sqrt(4 +x)-2)/(x) is continuous x=0 then the value of f(0) is

If f(x)={{:("x sin"(1)/(x)",",xne0),(k",",x=0):} is continuous at x=0, then the value of k is

If f(x){{:((sqrt(4+x)-2)/(x)",",xne0),(k,","x=0):} is continuous at x =0 , then the value of k is

Let f: R to R be a function defined as f(x)={(,(sin (a+1)x+sin 2x)/(2x), if x lt 0),(, b, if x=0), (,(sqrt(x+bx^(3))-sqrtx)/(bx^(5/2)), if x gt 0):} If f is continuous at x=0 then the value of a+b is equal to :