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log(log(x))/sqrt(x)
Limit of the function/ log(log(x))/sqrt(x)

Limit of the function log(log(x))/sqrt(x)

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You have entered [src] 
     /log(log(x))\
 lim |-----------|
x->oo|     ___   |
     \   \/ x    /
$$\lim_{x \to \infty}\left(\frac{\log{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}\right)$$ 
Limit(log(log(x))/sqrt(x), x, oo, dir='-')
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Rapid solution [src] 
0
$$0$$
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Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{\log{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}\right) = 0$$
$$\lim_{x \to 0^-}\left(\frac{\log{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}\right) = \infty i$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\log{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}\right) = \infty$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(\frac{\log{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}\right) = -\infty$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\log{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}\right) = -\infty$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\log{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}\right) = 0$$
More at x→-oo
The graph
Limit of the function log(log(x))/sqrt(x)
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