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lim-x-x-




Question Number 110809 by Study last updated on 30/Aug/20
lim_(x→∞) (√(x!))=?
$${li}\underset{{x}\rightarrow\infty} {{m}}\sqrt{{x}!}=? \\ $$
Commented by Her_Majesty last updated on 30/Aug/20
∞
$$\infty \\ $$
Commented by Study last updated on 31/Aug/20
what is the practice?
$${what}\:{is}\:{the}\:{practice}? \\ $$
Commented by Her_Majesty last updated on 31/Aug/20
in this case it′s obvious  lim_(x→∞) x!=∞  lim_(x→∞) (√x)=∞  lim_(x→∞) (√(x!))=∞
$${in}\:{this}\:{case}\:{it}'{s}\:{obvious} \\ $$$${lim}_{{x}\rightarrow\infty} {x}!=\infty \\ $$$${lim}_{{x}\rightarrow\infty} \sqrt{{x}}=\infty \\ $$$${lim}_{{x}\rightarrow\infty} \sqrt{{x}!}=\infty \\ $$

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