1-prove-that-x-0-x-x-2-2-ln-1-x-x-2-find-lim-n-k-1-n-1-1-k-2-n-2-n-

Question Number 28890 by abdo imad last updated on 31/Jan/18

1) p r o v e t h a t \forall x ⩾ 0 x - \frac{x^{2}}{2} ⩽ l n (1 + x) ⩽ x

2) f i n d {l i m}_{n \to + \infty} \prod_{k = 1}^{n} {(1 + \frac{1}{k^{2} + n^{2}})}^{n} .