Which one is Bigger ?? e^(pi) or (pi)^e

Identify which is greater -(1+e^(2))/(e) or (1+pi^(2))/(pi)

Which one is greater: cos(log_(e)theta) or log_(e)(cos theta) if -(pi)/(2)

Prove that inequality e^(x)>(1+x) for all x in R_(0) and use it to determine which of the two numbers e^(pi) and pi' is greater.

The correct option among the following is (a)pi^(e) e^(pi),(c)pi^(e)=e^(pi),(d) none of these

If z!=0 upper bound of |z^(i)| is A) |z| B) 1 C) e^(-pi) D) e^(pi)

Use the function f(x)=x^((1)/(x)),x>0, to determine the bigger of the two numbers e^(pi)and pi^(e).

The value of lim_(x->1)(2-x)^(tan((pix)/2)) is e^(-2/pi) (b) e^(1/pi) (c) e^(2/pi) (d) e^(-1/pi)

Statement l: f(x)=((log(pi+x))/(log(e+x)) is increasing on ((e)/(pi),(pi)/(e)) statement II: x log x is increasing for x>(1)/(e)

statement: e^(pi) is bigger than pi^(e) statement 2:f(x)=x^((1)/(x)) is an increasing function whenn xe[e,oo)