Day 38 in Mat229

I asked you to try exercises #140-145, 152-155, 160-163, 170-171, 175-176, 190, 192 from that section. Any questions?

Remember that it's all about the tail. In terms of convergence, we don't care about any handful of terms at the head of a series: $$\sum _{k=1}^{\mathrm{\infty }}{a}_k=\sum _{k=1}^n{a}_k+\sum _{k=n+1}^{\mathrm{\infty }}{a}_k$$ Convergence is about the tail: ${\displaystyle \sum _{k=n+1}^{\mathrm{\infty }}{a}_k}$

1. Comparison Test (.nb)
2. Comparison Test (.pdf)

1. Alternating Series (.nb)
2. Alternating Series (.pdf)