Fill in the blanks:
If `underset(xrarra^+)(Lt)f(x)neunderset(xrarra^-)(Lt)f(x), `then `underset(xrarra)(Lt)f(x)`……………

True or False : If underset(x rarr a)Lt f(x)g(x) exists then both underset(xrarra^+)Lt f(X) and underset(xrarra^-) Lt g(x) exist separately.

underset(xrarre)(Lt)((logx-1)/(x-e)) is equal to

Let f: R rarr R be a positive increasing function with underset(xrarrinfty)lim(f(3x))/(f(x))=1, then underset(xrarrinfty)lim(f(2x))/(f(x)) =

If underset(xrarra)(lim)f(x)=underset(xrarra)(lim)[f(x)] ([.] denotes the greates integer function) and f(x) is non-constant continuous function, then

If underset(xrarra)(lim)f(x)=underset(xrarra)(lim)[f(x)] ([.] denotes the greates integer function) and f(x) is non-constant continuous function, then

Fill in the blanks: If f(x) = x^(2//3) , then f'(0) is ……… .

underset(xrarra)lim (x^n-a^n)/(x-a) is equal to:

Lt f(x) = |cos x|, then

True or False: If f(2a-x)=-f(x) , then underset0overset(2a)int f(x)dx=0 .