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log(1-x^3)
Limit of the function/ log(1-x^3)

Limit of the function log(1-x^3)

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        /     3\
 lim log\1 - x /
x->0+
lim⁡x→0+log⁡(1−x3)\lim_{x \to 0^+} \log{\left(1 - x^{3} \right)} 
Limit(log(1 - 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
02468-8-6-4-2-1010-1010
Plot the graph
Rapid solution [src] 
0
00
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−log⁡(1−x3)=0\lim_{x \to 0^-} \log{\left(1 - x^{3} \right)} = 0
More at x→0 from the left
lim⁡x→0+log⁡(1−x3)=0\lim_{x \to 0^+} \log{\left(1 - x^{3} \right)} = 0
lim⁡x→∞log⁡(1−x3)=∞\lim_{x \to \infty} \log{\left(1 - x^{3} \right)} = \infty
More at x→oo
lim⁡x→1−log⁡(1−x3)=−∞\lim_{x \to 1^-} \log{\left(1 - x^{3} \right)} = -\infty
More at x→1 from the left
lim⁡x→1+log⁡(1−x3)=−∞\lim_{x \to 1^+} \log{\left(1 - x^{3} \right)} = -\infty
More at x→1 from the right
lim⁡x→−∞log⁡(1−x3)=∞\lim_{x \to -\infty} \log{\left(1 - x^{3} \right)} = \infty
More at x→-oo
One‐sided limits [src] 
        /     3\
 lim log\1 - x /
x->0+
lim⁡x→0+log⁡(1−x3)\lim_{x \to 0^+} \log{\left(1 - x^{3} \right)} 
0
00 
= 8.60695006741856e-32
        /     3\
 lim log\1 - x /
x->0-
lim⁡x→0−log⁡(1−x3)\lim_{x \to 0^-} \log{\left(1 - x^{3} \right)} 
0
00 
= 9.54149910004164e-30
= 9.54149910004164e-30
Numerical answer [src] 
8.60695006741856e-32
8.60695006741856e-32
The graph
Limit of the function log(1-x^3)
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