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## Main Question or Discussion Point

if we can obtain resummation methods for divergent series such as

[tex] 1-1+1-1+1-1+1-1+... [/tex] or [tex] 1!-2!+3!-4!+.. [/tex]

my question is why is there no method to deal with divergent integrals like [tex] \int_{0}^{\infty} dx x^{s-1} [/tex] or [tex] \int_{0}^{\infty} dx (x+1)^{-1} (x^{3}+x) [/tex]

[tex] 1-1+1-1+1-1+1-1+... [/tex] or [tex] 1!-2!+3!-4!+.. [/tex]

my question is why is there no method to deal with divergent integrals like [tex] \int_{0}^{\infty} dx x^{s-1} [/tex] or [tex] \int_{0}^{\infty} dx (x+1)^{-1} (x^{3}+x) [/tex]