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8*x^2
Limit of the function/ 8*x^2

Limit of the function 8*x^2

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The solution

You have entered [src] 
     /   2\
 lim \8*x /
x->0+
lim⁡x→0+(8x2)\lim_{x \to 0^+}\left(8 x^{2}\right) 
Limit(8*x^2, 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
02468-8-6-4-2-1010-10001000
Plot the graph
Rapid solution [src] 
0
00
Expand and simplify
Other limits x→0, -oo, +oo, 1
lim⁡x→0−(8x2)=0\lim_{x \to 0^-}\left(8 x^{2}\right) = 0
More at x→0 from the left
lim⁡x→0+(8x2)=0\lim_{x \to 0^+}\left(8 x^{2}\right) = 0
lim⁡x→∞(8x2)=∞\lim_{x \to \infty}\left(8 x^{2}\right) = \infty
More at x→oo
lim⁡x→1−(8x2)=8\lim_{x \to 1^-}\left(8 x^{2}\right) = 8
More at x→1 from the left
lim⁡x→1+(8x2)=8\lim_{x \to 1^+}\left(8 x^{2}\right) = 8
More at x→1 from the right
lim⁡x→−∞(8x2)=∞\lim_{x \to -\infty}\left(8 x^{2}\right) = \infty
More at x→-oo
One‐sided limits [src] 
     /   2\
 lim \8*x /
x->0+
lim⁡x→0+(8x2)\lim_{x \to 0^+}\left(8 x^{2}\right) 
0
00 
= -7.74644639960699e-31
     /   2\
 lim \8*x /
x->0-
lim⁡x→0−(8x2)\lim_{x \to 0^-}\left(8 x^{2}\right) 
0
00 
= -7.74644639960699e-31
= -7.74644639960699e-31
Numerical answer [src] 
-7.74644639960699e-31
-7.74644639960699e-31
The graph
Limit of the function 8*x^2
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