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

Which is greater.(e)1.23 or 1.2

Determine which is bigger, (1)/(pi)^(1/e) or (1)/(e )^((1)/(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.

Which one is greater: cos(log_e theta)or log_e(costheta) if -pi/2ltthetaltpi/2

The domain of the function f(x)=(x)/(sqrt(sin(ln x)-cos(ln x))),(n in Z) is (a) (e^(2n pi),e^((3n+(1)/(2))pi)(b))(e^((2n+(1)/(4))pi),e^((2n+(3)/(4))pi))( d) none of these (e^((2n+(1)/(4))pi),e^((2n-(3)/(4))pi))( d) none of these

If y=tan^(-1)x+tan^(-1)(1/x)+sec^(-1)x , then y lies in the interval (a) [pi/2,pi)uu[pi,(3pi)/2) (b) [pi/2,(3pi)/2] (c)(0,pi) (d) [0,pi/2)uu[pi/2,pi)

The value of (lim)_(x rarr1)(2-x)^(tan((pi x)/(2))) is e^(-(2)/(pi)) (b) e^((1)/(pi))(c)e^((2)/(pi))(d)e^(-(1)/(pi))

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

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)