#1708 · Real Analysis · Series

Binomial expansion terms at x = 1

Show that when $x = 1$ , no term in the expansion of $(1 + x)^{n}$ is infinite, except when $n$ is negative and numerically greater than unity.

~10 minProof · checked by AIbinomial theoremseries expansion

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXI. Convergency and Divergency of Series, Examples XXI.a, No. 22

Stuck? A gentle nudge

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.