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

Limit of the function 2*x^3

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     /   3\
 lim \2*x /
x->3+
lim⁡x→3+(2x3)\lim_{x \to 3^+}\left(2 x^{3}\right) 
Limit(2*x^3, x, 3)
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
6012345-6-5-4-3-2-1-10001000
Plot the graph
Rapid solution [src] 
54
5454
Expand and simplify
One‐sided limits [src] 
     /   3\
 lim \2*x /
x->3+
lim⁡x→3+(2x3)\lim_{x \to 3^+}\left(2 x^{3}\right) 
54
5454 
= 54.0
     /   3\
 lim \2*x /
x->3-
lim⁡x→3−(2x3)\lim_{x \to 3^-}\left(2 x^{3}\right) 
54
5454 
= 54.0
= 54.0
Other limits x→0, -oo, +oo, 1
lim⁡x→3−(2x3)=54\lim_{x \to 3^-}\left(2 x^{3}\right) = 54
More at x→3 from the left
lim⁡x→3+(2x3)=54\lim_{x \to 3^+}\left(2 x^{3}\right) = 54
lim⁡x→∞(2x3)=∞\lim_{x \to \infty}\left(2 x^{3}\right) = \infty
More at x→oo
lim⁡x→0−(2x3)=0\lim_{x \to 0^-}\left(2 x^{3}\right) = 0
More at x→0 from the left
lim⁡x→0+(2x3)=0\lim_{x \to 0^+}\left(2 x^{3}\right) = 0
More at x→0 from the right
lim⁡x→1−(2x3)=2\lim_{x \to 1^-}\left(2 x^{3}\right) = 2
More at x→1 from the left
lim⁡x→1+(2x3)=2\lim_{x \to 1^+}\left(2 x^{3}\right) = 2
More at x→1 from the right
lim⁡x→−∞(2x3)=−∞\lim_{x \to -\infty}\left(2 x^{3}\right) = -\infty
More at x→-oo
Numerical answer [src] 
54.0
54.0
The graph
Limit of the function 2*x^3
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