The function f defined by `f(x)={{:(,(sinx^(2))/(x),x ne 0),(,0,x=0):}` is

Check the continuity of the function ‘f defined by f(x)= {{:((sin2x)/(x),if x ne 0),(1,if x=0):} at x=0

The function f defined as f(x) = {{:((sin x^(2))/x ,x!=0 ),( 0 , 0):} is :

find the points of discontinuity of the function f defined by f(x) = {(|x|/x, x ne 0),(0,x=0):}

Find the value of a such that the function f defined by f(x)={((sinax)/(sinx) if xne0),(1/a if x=0):} is continuous at x=0.

Let f(x) be a function defined by f(x) = {{:((3x)/(|x|+2x),x ne 0),(0,x = 0):} Show that lim_(x rarr 0) f(x) does not exist.

Examine for continuity, the function 'f' defined by f(x) = {:{(e^(1//x), x ne 0),(0,x=0):} at x = 0

Let f be a function defined by f(x)={{:((tanx)/(x)",",x ne0),(1",",x=0):} Statement -I x=0 is point of minimum of f Statement II : f'(0)=0

find the points of discontinuity of the function f defined by f(x) = {(sinx/x,x<0),(x+1,xge0):}

Find the value of a such that the function f defined by f(x)={{:((sinax)/(sinx), "if", x ne 0),((1)/(a), "if", x=0):} is continuous at x=0