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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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      /    3\
 lim  \-4*x /
x->-5+
lim⁡x→−5+(−4x3)\lim_{x \to -5^+}\left(- 4 x^{3}\right) 
Limit(-4*x^3, x, -5)
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
02468-8-6-4-2-1010-1000010000
Plot the graph
One‐sided limits [src] 
      /    3\
 lim  \-4*x /
x->-5+
lim⁡x→−5+(−4x3)\lim_{x \to -5^+}\left(- 4 x^{3}\right) 
500
500500 
= 500.0
      /    3\
 lim  \-4*x /
x->-5-
lim⁡x→−5−(−4x3)\lim_{x \to -5^-}\left(- 4 x^{3}\right) 
500
500500 
= 500.0
= 500.0
Rapid solution [src] 
500
500500
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→−5−(−4x3)=500\lim_{x \to -5^-}\left(- 4 x^{3}\right) = 500
More at x→-5 from the left
lim⁡x→−5+(−4x3)=500\lim_{x \to -5^+}\left(- 4 x^{3}\right) = 500
lim⁡x→∞(−4x3)=−∞\lim_{x \to \infty}\left(- 4 x^{3}\right) = -\infty
More at x→oo
lim⁡x→0−(−4x3)=0\lim_{x \to 0^-}\left(- 4 x^{3}\right) = 0
More at x→0 from the left
lim⁡x→0+(−4x3)=0\lim_{x \to 0^+}\left(- 4 x^{3}\right) = 0
More at x→0 from the right
lim⁡x→1−(−4x3)=−4\lim_{x \to 1^-}\left(- 4 x^{3}\right) = -4
More at x→1 from the left
lim⁡x→1+(−4x3)=−4\lim_{x \to 1^+}\left(- 4 x^{3}\right) = -4
More at x→1 from the right
lim⁡x→−∞(−4x3)=∞\lim_{x \to -\infty}\left(- 4 x^{3}\right) = \infty
More at x→-oo
Numerical answer [src] 
500.0
500.0
The graph
Limit of the function -4*x^3
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