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(-1)^x

Limit of the function (-1)^x

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The solution

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         x
 lim (-1) 
x->1+     
$$\lim_{x \to 1^+} \left(-1\right)^{x}$$
Limit((-1)^x, 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
Rapid solution [src]
-1
$$-1$$
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 1^-} \left(-1\right)^{x} = -1$$
More at x→1 from the left
$$\lim_{x \to 1^+} \left(-1\right)^{x} = -1$$
$$\lim_{x \to \infty} \left(-1\right)^{x}$$
More at x→oo
$$\lim_{x \to 0^-} \left(-1\right)^{x} = 1$$
More at x→0 from the left
$$\lim_{x \to 0^+} \left(-1\right)^{x} = 1$$
More at x→0 from the right
$$\lim_{x \to -\infty} \left(-1\right)^{x}$$
More at x→-oo
One‐sided limits [src]
         x
 lim (-1) 
x->1+     
$$\lim_{x \to 1^+} \left(-1\right)^{x}$$
-1
$$-1$$
= (-1.0 - 4.27498954217603e-28j)
         x
 lim (-1) 
x->1-     
$$\lim_{x \to 1^-} \left(-1\right)^{x}$$
-1
$$-1$$
= (-1.0 + 4.27498954217603e-28j)
= (-1.0 + 4.27498954217603e-28j)
Numerical answer [src]
(-1.0 - 4.27498954217603e-28j)
(-1.0 - 4.27498954217603e-28j)
The graph
Limit of the function (-1)^x