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Question Number 215051 by MrGaster last updated on 27/Dec/24

$$$$$$\underset{n\to \mathrm{\infty }}{\lim }\underset{k=1}{\prod ^n}\frac{k^2+1}{\sqrt{k^2+4}}=?$$$$$$

Answered by MathematicalUser2357 last updated on 28/Dec/24

$$\underset{n\to \mathrm{\infty }}{\lim }\underset{k=1}{\prod ^n}f\left(k\right)\mathrm{is}\mathrm{totally}\mathrm{divergent}\mathrm{if}-1<\underset{k\to \mathrm{\infty }}{\lim }f\left(k\right)<1\mathrm{is}\mathrm{not}\mathrm{true}.\mathrm{see}\mathrm{graph}\mathrm{below}$$

Commented by MathematicalUser2357 last updated on 28/Dec/24

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