Binomial series for (1+x)^α, |x|<1 (Same falling-factorial pattern; α any real; converges for |x|<1)
jee-advancedjee-main
Same falling-factorial pattern; α any real; converges for |x|<1
What each symbol means
| Symbol | What it stands for |
|---|---|
| x | Real/complex with |x|<1 |
| α | Real index |
When to use this
Standard real power series; |x|<1 for convergence (endpoint care separately).