MediumSeries

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §10.3 Convergence Tests: All Series, #21 · Calculus · Series

Starting from …, with plus signs, show that the alternating series in…

Starting from $\frac{1}{1 ^{2}} + \frac{1}{2 ^{2}} + \frac{1}{3 ^{2}} + \dots = \frac{π ^{2}}{6}$ , with plus signs, show that the alternating series in Problem 20 has $s = π^{2} /12$ .

This exercise builds on another exercise in its source book, which isn't shown here.

~8 minWritten answer · check your work with Lemma

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §10.3 Convergence Tests: All Series, #21

Stuck? A gentle nudge

No hints for this one.

Something off?

Workspace

Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.