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

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) = {:{(((sin(a+1)x+2sinx)/x),x 0):} is continuous at x = 0, then find the values of a and b.

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

A function f is defined by f(x)= {{:((sin (a + 1) x + sinx)/(x)" if " x lt 0),(c " if " x = 0),(((x + bx^(2))^(1/2)- x^(1/2))/(bx^(3/2)) " if " x gt 0 ):} It f(x) is continuous at x = 0 , find the values of a,b and c .

Let f(x)={{:((sin(a+1)x+sinx)/(x)",",xlt0),(c",",x=0),((sqrt(x+bx^(2)))/(bx^((3)/(2)))",",xgt0):} If f(x) is continous at x = 0, then

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

If f(x) = ((1+sinx)-sqrt(1-sinx))/(x) , x != 0 , is continuous at x = 0, then f(0) is

If f(x) = ((1+sinx)-sqrt(1-sinx))/(x) , x != 0 , is continuous at x = 0, then f(0) is

f(x)={{:((sin(a+1)x+sinx)/(x)","xgt0),((sqrt(x+bx^(2)-sqrt(x)))/(bx^((3)/(2)))","xgt0),(c","" "x=0):} If f(x) is continious of x=0 then….

If f(x)=(sin^2 x+4sinx+5)/(2sin^2x+8sinx+8) then range of f(x) is