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z^4
Limit of the function/ z^4

Limit of the function z^4

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The solution

You have entered [src] 
       4
 lim  z 
z->-1+
lim⁡z→−1+z4\lim_{z \to -1^+} z^{4} 
Limit(z^4, z, -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
-2.0-1.5-1.0-0.52.00.00.51.01.5020
Plot the graph
Rapid solution [src] 
1
11
Expand and simplify
Other limits z→0, -oo, +oo, 1
lim⁡z→−1−z4=1\lim_{z \to -1^-} z^{4} = 1
More at z→-1 from the left
lim⁡z→−1+z4=1\lim_{z \to -1^+} z^{4} = 1
lim⁡z→∞z4=∞\lim_{z \to \infty} z^{4} = \infty
More at z→oo
lim⁡z→0−z4=0\lim_{z \to 0^-} z^{4} = 0
More at z→0 from the left
lim⁡z→0+z4=0\lim_{z \to 0^+} z^{4} = 0
More at z→0 from the right
lim⁡z→1−z4=1\lim_{z \to 1^-} z^{4} = 1
More at z→1 from the left
lim⁡z→1+z4=1\lim_{z \to 1^+} z^{4} = 1
More at z→1 from the right
lim⁡z→−∞z4=∞\lim_{z \to -\infty} z^{4} = \infty
More at z→-oo
One‐sided limits [src] 
       4
 lim  z 
z->-1+
lim⁡z→−1+z4\lim_{z \to -1^+} z^{4} 
1
11 
= 1.0
       4
 lim  z 
z->-1-
lim⁡z→−1−z4\lim_{z \to -1^-} z^{4} 
1
11 
= 1.0
= 1.0
Numerical answer [src] 
1.0
1.0
The graph
Limit of the function z^4
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