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x^5
Limit of the function/ x^5

Limit of the function x^5

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The solution

You have entered [src] 
      5
 lim x 
x->1+
lim⁡x→1+x5\lim_{x \to 1^+} x^{5} 
Limit(x^5, 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
-2.0-1.5-1.0-0.52.00.00.51.01.5-5050
Plot the graph
Rapid solution [src] 
1
11
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→1−x5=1\lim_{x \to 1^-} x^{5} = 1
More at x→1 from the left
lim⁡x→1+x5=1\lim_{x \to 1^+} x^{5} = 1
lim⁡x→∞x5=∞\lim_{x \to \infty} x^{5} = \infty
More at x→oo
lim⁡x→0−x5=0\lim_{x \to 0^-} x^{5} = 0
More at x→0 from the left
lim⁡x→0+x5=0\lim_{x \to 0^+} x^{5} = 0
More at x→0 from the right
lim⁡x→−∞x5=−∞\lim_{x \to -\infty} x^{5} = -\infty
More at x→-oo
One‐sided limits [src] 
      5
 lim x 
x->1+
lim⁡x→1+x5\lim_{x \to 1^+} x^{5} 
1
11 
= 1.0
      5
 lim x 
x->1-
lim⁡x→1−x5\lim_{x \to 1^-} x^{5} 
1
11 
= 1.0
= 1.0
Numerical answer [src] 
1.0
1.0
The graph
Limit of the function x^5
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