[" 17.If "f(x)=(a sin2x)/(x),quad x>0],[2,quad x=0],[(2b(sqrt(1+x)-1))/(x),x<0],[" and "f(x)" is continuous at "x=0," find the values of "a" and "b" ."]

If f(x)={{:((sin(a+1)x+2sinx)/x", "xlt0),(2" ,"x=0),((sqrt(1+bx)-1)/x" ,"xgt0):} is continuous at x = 0, then find the values of 'a' and 'b'.

If f(x)=f(x)={(sin(a+1)x+sinx)/(x), ,x<0,c \ at x=0, (sqrt(x+b x^2)-sqrt(x))/(b xsqrt(x)),xgeq0,f(x) is continuous at x=0,t h e n (a). a=-3/2,b=0,c=1/2 (b) a=-3/2,b=1,c=-1/2 (c) a=-3/2,b in R-[0],c=1/2 (d) none of these

If f(x)=sqrt(1-sin2x), then f'(x) equals

If f(x)=sqrt(1-sin2x), then f'(x) equals

f(x)={(e^(x)-1+ax)/(x^(2)),x>0 and b,x=0 and (sin((x)/(2)))/(x),x<0

f(x)={((Sin(a+1)x+Sin2x)/(2x),,x lt 0),(b,,x=0),((sqrt(x-bx^3)-sqrtx)/(bx^(5/2) ), , xgt0):} , f(x) is a continous at x=0 then abs(a+b) is equal to

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

If f(x)=f(x)={(sin(a+1)x+sinx)/(x^x c),x<0(sqrt(x+b x^2)-sqrt(x))/(b xsqrt(x)),xgeq0,x-0 is continuous at x=0,t h e n a=-3/2,b=0,c=1/2 (b) a=-3/2,b=1,c=-1/2 a=-3/2,b in R-[0],c=1/2 (d) none of these