4)b)

prove that continues uniformly in

4)c)

prove that for all exists natural 'n' so

4)d)

prove that is not uniformly continues in (0,1)

in part d we can use part c

regarding part A:

i want to show that the derivative of f(x) is bounded then its automatickly uniformly continues.

so when we got to infinity the 1/x goes to zero.but if we got to x=0 the 1/x goes to infinity

why it is bounded

?