Similar to タウバーの定理

Abel's theorem

Goldbach–Euler theorem

Abel's summation formula

Divergent series

Borel summation

Eisenstein series

Gaussian binomial coefficient

Wiener–Ikehara theorem

Wallis product

Stokes' theorem

Cauchy–Kovalevskaya theorem

Sard's theorem

Sturm–Picone comparison theorem

Strichartz estimate

Laplace principle (large deviations theory)

Riemann–Lebesgue lemma

Cesàro summation

Summation by parts

1 + 1 + 1 + 1 + ⋯

1 + 2 + 4 + 8 + ⋯

1 − 1 + 2 − 6 + 24 − 120 + ⋯

1 − 2 + 4 − 8 + ⋯

1/2 + 1/4 + 1/8 + 1/16 + ⋯

1/2 − 1/4 + 1/8 − 1/16 + ⋯

1/4 + 1/16 + 1/64 + 1/256 + ⋯

1 + 2 + 3 + 4 + ⋯

1 − 2 + 3 − 4 + ⋯