Category:Power Series Expansion for Reciprocal of 1 + x

From ProofWiki
Jump to navigation Jump to search

This category contains pages concerning Power Series Expansion for Reciprocal of 1 + x:


Let $x \in \R$ such that $-1 < x < 1$.

Then:

\(\ds \dfrac 1 {1 + x}\) \(=\) \(\ds \sum_{k \mathop = 0}^\infty \paren {-1}^k x^k\)
\(\ds \) \(=\) \(\ds 1 - x + x^2 - x^3 + x^4 - \cdots\)

Pages in category "Power Series Expansion for Reciprocal of 1 + x"

The following 3 pages are in this category, out of 3 total.