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

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}

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

If the function f as defined below is continuous at x=0find the values of a,b and c f(x) = {(sin (a+1)x +sin x)/x, x<0 and c, x=0, and (sqrt(x+bx^2)-sqrt(x))/(bx^(3/2)), x>0

If the function f as defined below is continuous at x=0find the values of a,b and c f(x) = {(sin (a+1)x +sin x)/x, x<0 and c, x=0, and (sqrt(x+bx^2)-sqrt(x))/(bx^(3/2)), x>0

If the function f as defined below is continuous at x=0find the values of a,b and c f(x) = {(sin (a+1)x +sin x)/x, x<0 and c, x=0, and (sqrt(x+bx^2)-sqrt(x))/(bx^(3/2)), 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 :

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