Lagrange Form of the Remainder Term in a Taylor Series
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Lorenzo S.
20 thanksTaylor's theorem with remainder
Taylor's theorem with remainder tells us how close the first n terms of a Taylor series get to actually matching the function f(x). The remainder looks just like the (n+1)st term of the series, only with the derivative evaluated at a mystery point instead of at a.

Jim Fowler
10 thanksWhat is Taylor's theorem?
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M1511: Convergence of Taylor Series
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