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Category: Relation and Functions

let-give-I-n-0-dt-1-t-2-n-with-n-integr-and-n-1-1-prove-the-convergence-of-I-n-2-find-lim-n-I-n-3-study-the-convergence-of-the-serie-n-1-1-n-I-n-

Question Number 31966 by abdo imad last updated on 17/Mar/18 letgiveIn=0dt(1+t2)nwithnintegrandn11)provetheconvergenceofIn2)findlimnIn$$\left.\mathrm{3}\right)\:{study}\:{the}\:{convergence}\:{of}\:{the}\:{serie}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} \left(−\mathrm{1}\right)^{{n}}…