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

Limit of the function (-1)^x

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The solution

You have entered [src] 
         x
 lim (-1) 
x->1+
lim⁡x→1+(−1)x\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
-2.0-1.5-1.0-0.52.00.00.51.01.51.001.01
Plot the graph
Rapid solution [src] 
-1
−1-1
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→1−(−1)x=−1\lim_{x \to 1^-} \left(-1\right)^{x} = -1
More at x→1 from the left
lim⁡x→1+(−1)x=−1\lim_{x \to 1^+} \left(-1\right)^{x} = -1
lim⁡x→∞(−1)x\lim_{x \to \infty} \left(-1\right)^{x}
More at x→oo
lim⁡x→0−(−1)x=1\lim_{x \to 0^-} \left(-1\right)^{x} = 1
More at x→0 from the left
lim⁡x→0+(−1)x=1\lim_{x \to 0^+} \left(-1\right)^{x} = 1
More at x→0 from the right
lim⁡x→−∞(−1)x\lim_{x \to -\infty} \left(-1\right)^{x}
More at x→-oo
One‐sided limits [src] 
         x
 lim (-1) 
x->1+
lim⁡x→1+(−1)x\lim_{x \to 1^+} \left(-1\right)^{x} 
-1
−1-1 
= (-1.0 - 4.27498954217603e-28j)
         x
 lim (-1) 
x->1-
lim⁡x→1−(−1)x\lim_{x \to 1^-} \left(-1\right)^{x} 
-1
−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
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