-Let `f(x)=x sin(1/x),` then the correct statement is(are)

Let f(x)=sin x,x =0 then

If f(x)=(|x-1|)/(x-1),x!=1 and f(1)=1 then the correct statement is discontinuous at x=1

Let f (x) = |sin x| then f (x) is

Let f(x)={1+sin x,x =0

Let f(x) = |sin x| .Then

Let f(x) = |sin x|. Then

Let f : R ^(+) to R defined as f (x)= e ^(x) + ln x and g = f ^(-1) then correct statement (s) is/are:

Let f : R ^(+) to R defined as f (x)= e ^(x) + ln x and g = f ^(-1) then correct statement (s) is/are:

Let f (x)=[{:((a (1-x sin x)+ b cos x +5)/(x ^(2)),,, x lt 0), ((1+ ((dx + dx ^(3))/(dx ^(2))))^(1/x),,, x gt 0):} If f is continous at x=0 then correct statement (s) is/are: