Home
Class 12
MATHS
If the function f as defined below is co...

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`

Promotional Banner

Similar Questions

Explore conceptually related problems

If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(0) .

If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(0) .

If f(x)=(sin2x+A sin x+B cos x)/(x^(3)) is continuous at x=0, the value of A,B and f(0) are :

If the following function f (x) is continuous at x=0 , find the values of a , b and c, where {{:((sin(a+1)x+sinx)/(x)," if " x lt0),(" "c," if "x=0),((sqrt(x+bx^(2))-sqrt(x))/(bx^((3)/(2)))," if "x gt0):}

Find the value of k so that the function f defined below is continuous at x=0 f(x)={[(sin2x)/(5x)",",x!=0],[k",",x=0]:}

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

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}

If the function f is defined by f(x)={(7" , "xne0),(a-1" , "x=0):} and f is continuous at x=0 then value of 'a' is _____