We can use the integral test to determine if the series

n=1

n

3

(n

4

+3)

7/2

We can use the integral test to determine if the series 11.3 E 2 \"214+3)7/( censerges. First we take a centinueus, pesitwe and decreasing functien f : 1E } IR where n] = n+3??? for all n = 1, 2, 3, - - - . Such a function is (M) fist = |_ In a. New fer anyr positive N N as) d: = In a Then