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4/x^3
Limit of the function/ 4/x^3

Limit of the function 4/x^3

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The solution

You have entered [src] 
     /4 \
 lim |--|
x->0+| 3|
     \x /
lim⁡x→0+(4x3)\lim_{x \to 0^+}\left(\frac{4}{x^{3}}\right) 
Limit(4/x^3, 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
02468-8-6-4-2-1010-2000000020000000
Plot the graph
One‐sided limits [src] 
     /4 \
 lim |--|
x->0+| 3|
     \x /
lim⁡x→0+(4x3)\lim_{x \to 0^+}\left(\frac{4}{x^{3}}\right) 
oo
∞\infty 
= 13771804.0
     /4 \
 lim |--|
x->0-| 3|
     \x /
lim⁡x→0−(4x3)\lim_{x \to 0^-}\left(\frac{4}{x^{3}}\right) 
-oo
−∞-\infty 
= -13771804.0
= -13771804.0
Rapid solution [src] 
oo
∞\infty
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(4x3)=∞\lim_{x \to 0^-}\left(\frac{4}{x^{3}}\right) = \infty
More at x→0 from the left
lim⁡x→0+(4x3)=∞\lim_{x \to 0^+}\left(\frac{4}{x^{3}}\right) = \infty
lim⁡x→∞(4x3)=0\lim_{x \to \infty}\left(\frac{4}{x^{3}}\right) = 0
More at x→oo
lim⁡x→1−(4x3)=4\lim_{x \to 1^-}\left(\frac{4}{x^{3}}\right) = 4
More at x→1 from the left
lim⁡x→1+(4x3)=4\lim_{x \to 1^+}\left(\frac{4}{x^{3}}\right) = 4
More at x→1 from the right
lim⁡x→−∞(4x3)=0\lim_{x \to -\infty}\left(\frac{4}{x^{3}}\right) = 0
More at x→-oo
Numerical answer [src] 
13771804.0
13771804.0
The graph
Limit of the function 4/x^3
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