[" If the function "f" defined by "],[f(x)=(x(1+a cos x)-b sin x)/(x^(3))" if "x!=0" and "f(0)=1" is "],[" continuous at "x=0" then "2a-8b=]

A function f(x) is defined as below f(x)=(cos(sin x)-cos x)/(x^(2)),x!=0 and f(0)=a f(x) is continuous at x=0 if 'a' equals

f(x)=(x(1+a cos x)-b sin x)/(x^(3)),x!=0 and f(0)=1 The value of a and b so that f(x) is a continuous function are.

f(x)= {((x(1 + a cos x)-b sin x)/(x^(3))",",x ne 0),(0",",x=0):} . If f is continuous at x=0 then find the value of a and b.

f(x)=(1-cos alpha x)/(x sin x), for x!=0,(1)/(2), for x=0 If f is continuous at x=0, then

If the function f(x) defined by {:(f(x),=x sin(1/x),",","for"x != 0),(,=k, ",","for"x = 0):} is continuous at x = 0, then k =

If the function f(x) defined by {:(f(x),=x (sin)1/x,",","for"x != 0),(,=k, ",","for"x = 0):} is continuous at x = 0, then k =

If the function f(x), defined as f(x)={{:((a(1-xsinx)+b cosx+5)/(x^(2)),":", xne0),(3,":",x=0):} is continuous at x=0 , then the value of (b^(4)+a)/(5+a) is equal to

If the function f(x), defined as f(x)={{:((a(1-xsinx)+b cosx+5)/(x^(2)),":", xne0),(3,":",x=0):} is continuous at x=0 , then the value of (b^(4)+a)/(5+a) is equal to

If f(x) = (1+sin x - cos x)/(1- sin x - cos x ) , x != 0 is continuous at x = 0 , then : f(0) =