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

Limit of the function x^3+3*x

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     / 3      \
 lim \x  + 3*x/
x->2+
lim⁡x→2+(x3+3x)\lim_{x \to 2^+}\left(x^{3} + 3 x\right) 
Limit(x^3 + 3*x, x, 2)
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
-4.0-3.0-2.0-1.04.00.01.02.03.0-200200
Plot the graph
One‐sided limits [src] 
     / 3      \
 lim \x  + 3*x/
x->2+
lim⁡x→2+(x3+3x)\lim_{x \to 2^+}\left(x^{3} + 3 x\right) 
14
1414 
= 14.0
     / 3      \
 lim \x  + 3*x/
x->2-
lim⁡x→2−(x3+3x)\lim_{x \to 2^-}\left(x^{3} + 3 x\right) 
14
1414 
= 14.0
= 14.0
Rapid solution [src] 
14
1414
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→2−(x3+3x)=14\lim_{x \to 2^-}\left(x^{3} + 3 x\right) = 14
More at x→2 from the left
lim⁡x→2+(x3+3x)=14\lim_{x \to 2^+}\left(x^{3} + 3 x\right) = 14
lim⁡x→∞(x3+3x)=∞\lim_{x \to \infty}\left(x^{3} + 3 x\right) = \infty
More at x→oo
lim⁡x→0−(x3+3x)=0\lim_{x \to 0^-}\left(x^{3} + 3 x\right) = 0
More at x→0 from the left
lim⁡x→0+(x3+3x)=0\lim_{x \to 0^+}\left(x^{3} + 3 x\right) = 0
More at x→0 from the right
lim⁡x→1−(x3+3x)=4\lim_{x \to 1^-}\left(x^{3} + 3 x\right) = 4
More at x→1 from the left
lim⁡x→1+(x3+3x)=4\lim_{x \to 1^+}\left(x^{3} + 3 x\right) = 4
More at x→1 from the right
lim⁡x→−∞(x3+3x)=−∞\lim_{x \to -\infty}\left(x^{3} + 3 x\right) = -\infty
More at x→-oo
Numerical answer [src] 
14.0
14.0
The graph
Limit of the function x^3+3*x
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