Chapter 1.6, Problem 17P

Use the integral test to show that ${\displaystyle {\sum }_{n=0}^{\infty }{e}^{-n^2}}$ converges. Hint: Although you cannot evaluate the integral, you can show that it is finite (Which is all that is necessary) by comparing it with ${\displaystyle {\int }_{}^{\infty }{e}^{-n}dn}$.