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-log(x)/x^2
Limit of the function/ -log(x)/x^2

Limit of the function -log(x)/x^2

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     /-log(x) \
 lim |--------|
x->0+|    2   |
     \   x    /
lim⁡x→0+((−1)log⁡(x)x2)\lim_{x \to 0^+}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x^{2}}\right) 
Limit((-log(x))/x^2, 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
02468-8-6-4-2-1010200000-100000
Plot the graph
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−((−1)log⁡(x)x2)=∞\lim_{x \to 0^-}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x^{2}}\right) = \infty
More at x→0 from the left
lim⁡x→0+((−1)log⁡(x)x2)=∞\lim_{x \to 0^+}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x^{2}}\right) = \infty
lim⁡x→∞((−1)log⁡(x)x2)=0\lim_{x \to \infty}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x^{2}}\right) = 0
More at x→oo
lim⁡x→1−((−1)log⁡(x)x2)=0\lim_{x \to 1^-}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x^{2}}\right) = 0
More at x→1 from the left
lim⁡x→1+((−1)log⁡(x)x2)=0\lim_{x \to 1^+}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x^{2}}\right) = 0
More at x→1 from the right
lim⁡x→−∞((−1)log⁡(x)x2)=0\lim_{x \to -\infty}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x^{2}}\right) = 0
More at x→-oo
One‐sided limits [src] 
     /-log(x) \
 lim |--------|
x->0+|    2   |
     \   x    /
lim⁡x→0+((−1)log⁡(x)x2)\lim_{x \to 0^+}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x^{2}}\right) 
oo
∞\infty 
= 114398.997559217
     /-log(x) \
 lim |--------|
x->0-|    2   |
     \   x    /
lim⁡x→0−((−1)log⁡(x)x2)\lim_{x \to 0^-}\left(\frac{\left(-1\right) \log{\left(x \right)}}{x^{2}}\right) 
oo
∞\infty 
= (114398.997559217 - 71631.4540945009j)
= (114398.997559217 - 71631.4540945009j)
Numerical answer [src] 
114398.997559217
114398.997559217
The graph
Limit of the function -log(x)/x^2
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