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Category: Relation and Functions

let-f-t-n-1-1-n-ln-1-t-2-n-1-t-2-1-study-the-simple-and-uniform-convergence-of-f-n-2-study-the-continuity-of-f-3-prove-that-lim-t-f-t-ln-2-pi-

Question Number 36750 by prof Abdo imad last updated on 05/Jun/18 letf(t)=n1(1)nln{1+t2n(1+t2)}1)studythesimpleanduniformconvergenceofΣfn2)studythecontinuityoff$$\left.\mathrm{3}\right)\:{prove}\:{that}\:{lim}_{{t}\rightarrow+\infty} \:{f}\left({t}\right)={ln}\left(\frac{\mathrm{2}}{\pi}\right)\:.…

let-f-x-n-1-1-n-1-ln-nx-1-give-D-f-and-study-f-on-1-2-study-the-continjity-of-f-and-calculate-lim-x-1-f-x-and-lim-x-f-x-3-prove-that-f-is-C-1-on-1-

Question Number 36748 by prof Abdo imad last updated on 05/Jun/18 letf(x)=n=1(1)n1ln(nx)1)giveDfandstudyfon]1,+[2)studythecontinjityoffandcalculate$${lim}\:_{{x}\rightarrow\mathrm{1}} {f}\left({x}\right)\:{and}\:{lim}_{{x}\rightarrow+\infty} {f}\left({x}\right). \