5.3 A tail integral bounds the series error · Sequences and Series, First Half · Visual Calculus

5.3Remainder estimate

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Home Calculus IISections 5.1-5.35.3 A tail integral bounds the series error

5.3

A tail integral bounds the series error

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005

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SymPy check = 0.005

SymPy checks

Limit of epsilon-band sequence1

Limit of geometric sequence0

Squeezed sequence limit0

Monotone bounded sequence limit0

Positive fixed point of recurrence1

Oil-seepage geometric sum2

Alternating geometric sum5.1428571429

Telescoping series sum1

Convergent p-series contrast1.6449340668

Divergence-test term limit0.3333333333

Integral-test p=2 tail1

p-series tail integral at p=40.3333333333

Remainder upper bound at N=100.005