#Problems with the integral of the day

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rapid shadowBOT
fossil marsh
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I reckon that the limit has to be taken for every n, that simplifies too quickly

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If you only take the limit of the n in the parenthesis, then you get a 2 out front and are left with 2^(1+x^(1/n)) which feels like it could eventually get to arctan(sqrt(x))

deft cape
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how does a definite integral have a non-numerical answer ๐Ÿ˜•

feral vault
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Imo any 1/n can goes to 0

fossil marsh
deft cape
feral vault
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Idk what indeterminate forms is lol

fossil marsh
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alright I looked at some of the historical integrals and this whole site seems kinda scuffed

feral vault