Binomial approximation $(1+x)^n\approx 1+nx$ (First-order approximation: (1+x)^n ≈ 1 + nx when |x| is small.)
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First-order approximation: (1+x)^n ≈ 1 + nx when |x| is small.
What each symbol means
| Symbol | What it stands for |
|---|---|
| n | Real exponent in generalisations |
| x | Small perturbation |
When to use this
Valid for small |x|; error O(x²).