Chapter 19
Infinite Series: Welcome to the Outer Limits
IN THIS CHAPTER
Segueing from sequences into series
An infinite series — the rain delays just wouldn’t end
Getting musical with the harmonic series
Taking a close look at telescoping series
Rooting for the root test
Testing for convergence
Analyzing alternating series
As with just about every topic in calculus, the subject of this chapter involves the idea of infinity — specifically, series that continue to infinity. An infinite series is the sum of an endless list of numbers like 
. Because the list is unending, it’s not surprising that such a sum can be infinite. What’s remarkable is that some infinite series add up to a finite ...
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