# Calculus

Match each series to the test that should be used to test for convergence/divergence. While it is possible that each test could apply to more than one series, in this exercise each is only used once. (4 points)

1. the summation from n equals 1 to infinity of the quotient of the quantity 2 times n minus 3 and the quantity n minus 1
2. the summation from n equals 1 to infinity of the quotient of n sqaured and the quantity n to the 3rd power plus 1
3. the summation from n equals 1 to infinity of the product of n squared and e raised to negative 1 times n cubed power
4. the summation from n equals 1 to infinity of the quotient of 3 raised to the nth power and n plus 1 factorial

A) alternating series test
B) integral test
C) ratio test
D) nth term test

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PLEASE HELP ME!!! Give explanation too! Thank you so much! Match each series to the test that should be used to test for convergence/divergence. While it is possible that each test could apply to more than one series, in this