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x^2/4
Limit of the function/ x^2/4

Limit of the function x^2/4

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The solution

You have entered [src] 
     / 2\
     |x |
 lim |--|
x->0+\4 /
lim⁡x→0+(x24)\lim_{x \to 0^+}\left(\frac{x^{2}}{4}\right) 
Limit(x^2/4, x, 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
02468-8-6-4-2-101050-25
Plot the graph
One‐sided limits [src] 
     / 2\
     |x |
 lim |--|
x->0+\4 /
lim⁡x→0+(x24)\lim_{x \to 0^+}\left(\frac{x^{2}}{4}\right) 
0
00 
= -2.42076449987718e-32
     / 2\
     |x |
 lim |--|
x->0-\4 /
lim⁡x→0−(x24)\lim_{x \to 0^-}\left(\frac{x^{2}}{4}\right) 
0
00 
= -2.42076449987718e-32
= -2.42076449987718e-32
Rapid solution [src] 
0
00
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(x24)=0\lim_{x \to 0^-}\left(\frac{x^{2}}{4}\right) = 0
More at x→0 from the left
lim⁡x→0+(x24)=0\lim_{x \to 0^+}\left(\frac{x^{2}}{4}\right) = 0
lim⁡x→∞(x24)=∞\lim_{x \to \infty}\left(\frac{x^{2}}{4}\right) = \infty
More at x→oo
lim⁡x→1−(x24)=14\lim_{x \to 1^-}\left(\frac{x^{2}}{4}\right) = \frac{1}{4}
More at x→1 from the left
lim⁡x→1+(x24)=14\lim_{x \to 1^+}\left(\frac{x^{2}}{4}\right) = \frac{1}{4}
More at x→1 from the right
lim⁡x→−∞(x24)=∞\lim_{x \to -\infty}\left(\frac{x^{2}}{4}\right) = \infty
More at x→-oo
Numerical answer [src] 
-2.42076449987718e-32
-2.42076449987718e-32
The graph
Limit of the function x^2/4
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