<p>is sum 1/(2n+3) convergent or divergent from n=1 to infinity.
I tried using comparison theorem but i get 1/(2n+3)<1/2n 1/2n is divergent, but i can't draw any conclusion here. help!!!.</p>
<p>This is a little late for replying but I love math so here it is.</p>
<p>Use the limit comparison test: divide 1/n by 1/(2n+3) as n approaches infinite. Since the limit is a constant 2, both behave the same way. Since 1/n is divergent, therefore, 1/(2n+3) is also divergent.</p>
<p>hey i like math too. I did figure that problem out, too bad i did not do too well on that test.</p>
<p>use the integral test</p>