Source: laurentiu inequality

## calculas

consider the function f(x) = =

, for x 0.

(1) Is f(x) continious at x = 1 . Justify your answer .

(2)Show that f(x) does not vanish anywhere in the interval and indicate the points where g(x) changes its sign

## inequality

## NUMBER THEORY

Find all primes,which are less than 10^19.

which is greater , e^pi and pi^e