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Interactive Explainer

Taylor polynomials and the radius you can see

Sequences and Series of FunctionsAnalysis & Linear Algebra

1/(1+x²) is smooth on all of ℝ, yet its series refuses to go past |x| = 1. Watch the wall the poles at ±i put there.

Taylor polynomials and the radius you can seeinteractive

This visual is part of Trap Analysis

1/(1+x²) is smooth on all of ℝ, yet its series refuses to go past |x| = 1. Watch the wall the poles at ±i put there.

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