Chapter 19

Infinite Series

In This Chapter

arrow Segueing from sequences into series

arrow An infinite series — the rain delays just wouldn’t end

arrow Getting musical with the harmonic series

arrow Taking a close look at telescoping series

arrow Rooting for the root test

arrow Testing for convergence

arrow 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 9781118791295-eq01001.eps 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 number. This chapter covers ten ...

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