Watch: each new term (dashed) corrects more of the blue approximation toward the true function (white). The series converges inside the radius of convergence.
📝 Quick Quiz▼
1. The Maclaurin series for eˣ starts: 1 + x + x²/2! + x³/3! + … Its radius of convergence is:
2. How many terms of sin(x)'s Maclaurin series are needed to match the true value to 5 decimal places at x = 0.1?
3. The radius of convergence for ln(1+x) = x − x²/2 + x³/3 − … is: