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x^(-6)
Limit of the function/ x^(-6)

Limit of the function x^(-6)

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The solution

You have entered [src] 
     1 
 lim --
x->0+ 6
     x
$$\lim_{x \to 0^+} \frac{1}{x^{6}}$$ 
Limit(x^(-6), 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
Plot the graph
Rapid solution [src] 
oo
$$\infty$$
Expand and simplify
One‐sided limits [src] 
     1 
 lim --
x->0+ 6
     x
$$\lim_{x \to 0^+} \frac{1}{x^{6}}$$ 
oo
$$\infty$$ 
= 11853911588401.0
     1 
 lim --
x->0- 6
     x
$$\lim_{x \to 0^-} \frac{1}{x^{6}}$$ 
oo
$$\infty$$ 
= 11853911588401.0
= 11853911588401.0
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-} \frac{1}{x^{6}} = \infty$$
More at x→0 from the left
$$\lim_{x \to 0^+} \frac{1}{x^{6}} = \infty$$
$$\lim_{x \to \infty} \frac{1}{x^{6}} = 0$$
More at x→oo
$$\lim_{x \to 1^-} \frac{1}{x^{6}} = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \frac{1}{x^{6}} = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty} \frac{1}{x^{6}} = 0$$
More at x→-oo
Numerical answer [src] 
11853911588401.0
11853911588401.0
The graph
Limit of the function x^(-6)
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