in numerator first term is e raise to power integral part of x ….....please explain anyone please ...please...

Hi, Convert the expression into e^2x ( by eliminating the e^-x term) Now analyse. The denominator is always positive. Demoninator > Numberator always. Ie. values are less than 1. So not ONTO as range is not achieveable. Now the value always less than one so it will keep repetiting itself. so neither one one as well. option D is correct.