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8*x^3
Limit of the function/ 8*x^3

Limit of the function 8*x^3

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      /   3\
 lim  \8*x /
x->-1+
lim⁡x→−1+(8x3)\lim_{x \to -1^+}\left(8 x^{3}\right) 
Limit(8*x^3, x, -1)
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
-2.0-1.5-1.0-0.52.00.00.51.01.5-100100
Plot the graph
Rapid solution [src] 
-8
−8-8
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→−1−(8x3)=−8\lim_{x \to -1^-}\left(8 x^{3}\right) = -8
More at x→-1 from the left
lim⁡x→−1+(8x3)=−8\lim_{x \to -1^+}\left(8 x^{3}\right) = -8
lim⁡x→∞(8x3)=∞\lim_{x \to \infty}\left(8 x^{3}\right) = \infty
More at x→oo
lim⁡x→0−(8x3)=0\lim_{x \to 0^-}\left(8 x^{3}\right) = 0
More at x→0 from the left
lim⁡x→0+(8x3)=0\lim_{x \to 0^+}\left(8 x^{3}\right) = 0
More at x→0 from the right
lim⁡x→1−(8x3)=8\lim_{x \to 1^-}\left(8 x^{3}\right) = 8
More at x→1 from the left
lim⁡x→1+(8x3)=8\lim_{x \to 1^+}\left(8 x^{3}\right) = 8
More at x→1 from the right
lim⁡x→−∞(8x3)=−∞\lim_{x \to -\infty}\left(8 x^{3}\right) = -\infty
More at x→-oo
One‐sided limits [src] 
      /   3\
 lim  \8*x /
x->-1+
lim⁡x→−1+(8x3)\lim_{x \to -1^+}\left(8 x^{3}\right) 
-8
−8-8 
= -8
      /   3\
 lim  \8*x /
x->-1-
lim⁡x→−1−(8x3)\lim_{x \to -1^-}\left(8 x^{3}\right) 
-8
−8-8 
= -8
= -8
Numerical answer [src] 
-8.0
-8.0
The graph
Limit of the function 8*x^3
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