MATH 227: 11.5 (Alternating Series)

When doing the limit as n/x goes to infinity, if its # / function, where the function in the denominator goes to infinity, then the limit = 0

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

1. What is the Alternating Series Test

2. How can you determine when to use it

True or False: If an alternating series converges, then the remainder R_n ≥ b_{n + 1}

False because R_n ≤ b_{n + 1}