f(x)={[(sin(a+1)x+sin x)/(x),," for "x<0],[(c)/(sqrt(x+bx^(2))-sqrt(x)),," for "x=0" is continuous at "x=0],[(sqrt(x+bx^(2))-sqrt(x))/(bx^(3/2)),," for "x>0]

Determine the values of a,b,c for which the function f(x)={(sin(a+1)x+sin x)/(x) for x 0 is continuous at x=0

Determine the values of a,b,c for which the function f(x)={(sin(a+1)x+sin x)/(x),quad f or x<0c,quad f or x=0(sqrt(x+bx^(2)))/(bx^(3/2)),quad f or x is continuous at x=0

If f(x) is continuous at x=0 , where f(x)={:{((sin (a+1)x+sin x)/(x)", for " x lt 0),(c", for " x=0),((sqrt(x+bx^(2))-sqrt(x))/(b sqrt(x))", for " x gt 0):} , then

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 :

ind the value of a and b if f(x) is continuous at x=0. If f(x)={(sin(a+1)x+2sin x)/(2),x 0}

The values of p and q for which the function : f(x) = {{:((sin (p + 1)x + sin x)/(x), x lt 0),(q,x=0),((sqrt(x + x^(2)) - sqrt(x))/(x^(3//2)),x gt 0):} is : continuous for all x in R, are :

The function f(x)=(3sin x-sin 3x)/(x^(3))" for "x ne 0, f(0) =1 at x=0 is