Evaluate the following limits using sandwich theorem: `("lim")_(xtooo)((log)_e x)/x`

Evaluate the following limits using sandwich theorem: lim_(x->oo)([x])/x ,w h e r e[dot] represents greatest integer function.

Evaluate the following limits in lim_(xrarr3)x+3

Evaluate the following limits in lim_(xrarr0)x secx

lim_(xtooo)(a^(x)-b^(x))/x=

Evaluate the following limits in lim_(xrarr0)(cosx)/(pi-x)

Evaluate the following limits, if necessary use l' Hopital Rule : lim_(xto oo)e^(-x)sqrtx

Evaluate the following limits, if necessary use l' Hopital Rule : lim_(xto oo)(1+1/x)^(x)