" If "f(x)=(x-[x])sin((1)/(x))," at "x=0,f" is "

If f(x)=sin((1)/(x)), then at x=0

If f(x)=x sin((1)/(x)),x!=0 and f(x)=0,x=0 then show that f'(0) does not exist

Show that the function f(x) given by f(x)={:{(x" sin "(1)/(x)", if "x!=0),(0" , if "x=0):} is continuous at x =0

If f(x)={(x"sin"(1)/(x),"when "x ne 0),(0,"when "x =0):} then at x = 0, the function f(x) is -

Show that f(x) = x sin ((1)/(x)), x ne 0 , f(0) = 0 is continuous at x = 0

Consider the function f:R to R defined by f(x)={((2-sin((1)/(x)))|x|,",",x ne 0),(0,",",x=0):} .Then f is :

If f(x)=sin|x|-e^(|x|) then at x=0,f(x) is

If f(x)=sin|x|-e^(|x|) then at x=0,f(x) is