Select the write the most appropriate answer from the given alternatives in each of the following :
The function `f(x)=(|x|)/(x^(2)+2x), x ne 0and f(0)=0` is not continuous at `x=0` because

Select the most appropriate answer from the given alternatives in each of the following : The function f(x)=(|x|)/(x^(2)+2x), x ne 0and f(0)=0 is not continuous at x=0 because

Select the write the most appropriate answer from the given alternatives in each of the following : If the function {:(f(x)(sin3x)/(7x)+a",","for" x gt0),(=x+3-b",","for"xlt0):} is continous at x=0, then a+b is equal to

Select the write the most appropriate answer from the given alternatives in each of the following : {:(f(x)(sin5x)/(3x)",",xne0),(=k",",x=0.):} If f is continuous at x=0, then the value of k is

If the function f(x)=(sin 3x)/(x)" for "x ne 0 and f(0)=k/2 is continuous at x=0 then k=

Show that the function f(x)=(x)/(1+e^(1//x),x ne 0, f(0)= 0 is continuous at x = 0

Show that the function f(x) =x sub (1)/(x) , x ne 0 f(0) =0 is continuous at x = 0

Select the write the most appropriate answer from the given alternatives in each of the following : If f (x) continuous at x=0, where {:(f(x)(1-cos kx)/(x^(2))",","for"x ne0),(=1/2",","for" x=0.):} then the value of k is

If f(x)=(sin^(2)ax)/(x^(2))" for "x ne 0, f(0)=1 is continuous at x=0 then a=

Select the write the most appropriate answer from the given alternatives in each of the following : If f (x) is continuous at x=0, where {:(f(x)=(3^(x)-3^(-x))/(sin x)",","for" x ne0),(=k",","for"x=0.):} then the value of k is

Let f(x) = (x+|x|)/x for x ne 0 and let f (0) = 0, Is f continuous at 0?