If `f(x)` is continuous then find `a` and `b`

Let f(x)={(1-s in^3x)/(3cos^2x) , if x pi/2 . If f(x) is continuous at x=pi/2 , find a and b .

let f(x)=(ae^(|sin x|)-b cos x-|x|)/(x^(2)) if f(x) is continuous at x=0 then find the values of a and b

A function f: RvecR is defined as f(x)=(lim)_(nvecoo)(a x^2+b x+c+e^(n x))/(1+c.e^(n x)) is continuous on R then find the values of a,b,c.

A function f: RvecR is defined as f(x)=(lim)_(nvecoo)(a x^2+b x+c+e^(n x))/(1+c.e^(n x)) is continuous on R then find the values of a,b,c.

If f(x) =x^(2)+a , for xge0 , f(x) =2sqrt(x^(2)+1)+b,"for"xlt0andf((1)/(2))=2 , is continuous at x = 0 , find a and b .

If the function f(x) given by f(x)={(3a x+b,"if "x >1), (11,"if "x=1), (5a x-2b ,"if "x<1):} is continuous at x=1 then find the values of a and b.

f(x)= {((x(1 + a cos x)-b sin x)/(x^(3))",",x ne 0),(0",",x=0):} . If f is continuous at x=0 then find the value of a and b.

If f (x) is continuous on [-4, 2], defined as f(x)=6b-3ax, "for" -4 le x lt -2 =4x+1," for" -2le x le2, find the value of a+b.

If f*g is continuous at x=a, then f and g are separately continuous at x=a.