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

Limit of the function -log(x)/x

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     /-log(x) \
 lim |--------|
x->0+\   x    /
$$\lim_{x \to 0^+}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x}\right)$$ 
Limit((-log(x))/x, x, 0)
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
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Rapid solution [src] 
oo
$$\infty$$
Expand and simplify
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x}\right) = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x}\right) = \infty$$
$$\lim_{x \to \infty}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x}\right) = 0$$
More at x→oo
$$\lim_{x \to 1^-}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x}\right) = 0$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x}\right) = 0$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x}\right) = 0$$
More at x→-oo
One‐sided limits [src] 
     /-log(x) \
 lim |--------|
x->0+\   x    /
$$\lim_{x \to 0^+}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x}\right)$$ 
oo
$$\infty$$ 
= 757.609255359054
     /-log(x) \
 lim |--------|
x->0-\   x    /
$$\lim_{x \to 0^-}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x}\right)$$ 
-oo
$$-\infty$$ 
= (-757.609255359054 + 474.380490692059j)
= (-757.609255359054 + 474.380490692059j)
Numerical answer [src] 
757.609255359054
757.609255359054
The graph
Limit of the function -log(x)/x
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