Find the limit as x approaches infinity of ##y=arctan(e^x)##...
Find the limit as x approaches infinity of ##y=arctan(e^x)##...
To answer this question, you need to know that ##lim_{x to +infty} e^x=+infty## and ##lim_{x to +infty} arctan x=pi/2## from the stuy of ##e^x## (see ) and of ##arctan x## (see ).
So, as ##x to inf...