Answer to Question #254143 in Real Analysis for Kia

Question #254143

Prove: lim(2n/(n ²+1))=0

Expert's answer

"\\displaystyle\n\\lim_{n \\to 0}(\\frac{2n}{n^2+1})\\\\\n\\text{Divide each term in the limit above by the highest power of n $(n^2)$ to obtain}\\\\\n\n\\lim_{n \\to 0}(\\frac{\\frac{2}{n}}{1+\\frac{1}{n^2}})\\\\\n\\text{Which is 0}"

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