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3/x^2
Limit of the function/ 3/x^2

Limit of the function 3/x^2

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The solution

You have entered [src] 
     /3 \
 lim |--|
x->0+| 2|
     \x /
lim⁡x→0+(3x2)\lim_{x \to 0^+}\left(\frac{3}{x^{2}}\right) 
Limit(3/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
02468-8-6-4-2-10100100000
Plot the graph
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(3x2)=∞\lim_{x \to 0^-}\left(\frac{3}{x^{2}}\right) = \infty
More at x→0 from the left
lim⁡x→0+(3x2)=∞\lim_{x \to 0^+}\left(\frac{3}{x^{2}}\right) = \infty
lim⁡x→∞(3x2)=0\lim_{x \to \infty}\left(\frac{3}{x^{2}}\right) = 0
More at x→oo
lim⁡x→1−(3x2)=3\lim_{x \to 1^-}\left(\frac{3}{x^{2}}\right) = 3
More at x→1 from the left
lim⁡x→1+(3x2)=3\lim_{x \to 1^+}\left(\frac{3}{x^{2}}\right) = 3
More at x→1 from the right
lim⁡x→−∞(3x2)=0\lim_{x \to -\infty}\left(\frac{3}{x^{2}}\right) = 0
More at x→-oo
One‐sided limits [src] 
     /3 \
 lim |--|
x->0+| 2|
     \x /
lim⁡x→0+(3x2)\lim_{x \to 0^+}\left(\frac{3}{x^{2}}\right) 
oo
∞\infty 
= 68403.0
     /3 \
 lim |--|
x->0-| 2|
     \x /
lim⁡x→0−(3x2)\lim_{x \to 0^-}\left(\frac{3}{x^{2}}\right) 
oo
∞\infty 
= 68403.0
= 68403.0
Numerical answer [src] 
68403.0
68403.0
The graph
Limit of the function 3/x^2
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