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z^2
Limit of the function/ z^2

Limit of the function z^2

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The solution

You have entered [src] 
      2
 lim z 
z->0+
lim⁡z→0+z2\lim_{z \to 0^+} z^{2} 
Limit(z^2, z, 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
02468-8-6-4-2-1010200-100
Plot the graph
Rapid solution [src] 
0
00
Expand and simplify
One‐sided limits [src] 
      2
 lim z 
z->0+
lim⁡z→0+z2\lim_{z \to 0^+} z^{2} 
0
00 
= -9.68305799950874e-32
      2
 lim z 
z->0-
lim⁡z→0−z2\lim_{z \to 0^-} z^{2} 
0
00 
= -9.68305799950874e-32
= -9.68305799950874e-32
Other limits z→0, -oo, +oo, 1
lim⁡z→0−z2=0\lim_{z \to 0^-} z^{2} = 0
More at z→0 from the left
lim⁡z→0+z2=0\lim_{z \to 0^+} z^{2} = 0
lim⁡z→∞z2=∞\lim_{z \to \infty} z^{2} = \infty
More at z→oo
lim⁡z→1−z2=1\lim_{z \to 1^-} z^{2} = 1
More at z→1 from the left
lim⁡z→1+z2=1\lim_{z \to 1^+} z^{2} = 1
More at z→1 from the right
lim⁡z→−∞z2=∞\lim_{z \to -\infty} z^{2} = \infty
More at z→-oo
Numerical answer [src] 
-9.68305799950874e-32
-9.68305799950874e-32
The graph
Limit of the function z^2
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