learn.howToCalculate

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A Taylor series approximates any smooth function as an infinite polynomial around a point. Truncating it gives a polynomial approximation — the basis for how calculators compute sin, cos, and eˣ.

Przewodnik krok po kroku

1. 1f(x) ≈ f(a) + f'(a)(x−a) + f''(a)(x−a)²/2! + ...
2. 2sin(x) = x − x³/6 + x⁵/120 − ...
3. 3cos(x) = 1 − x²/2 + x⁴/24 − ...
4. 4eˣ = 1 + x + x²/2 + x³/6 + ...

Rozwiązane przykłady