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

Limit of the function 4*x^2

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      /   2\
 lim  \4*x /
x->-2+
lim⁡x→−2+(4x2)\lim_{x \to -2^+}\left(4 x^{2}\right) 
Limit(4*x^2, x, -2)
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
-4.0-3.0-2.0-1.04.00.01.02.03.00100
Plot the graph
Rapid solution [src] 
16
1616
Expand and simplify
One‐sided limits [src] 
      /   2\
 lim  \4*x /
x->-2+
lim⁡x→−2+(4x2)\lim_{x \to -2^+}\left(4 x^{2}\right) 
16
1616 
= 16.0
      /   2\
 lim  \4*x /
x->-2-
lim⁡x→−2−(4x2)\lim_{x \to -2^-}\left(4 x^{2}\right) 
16
1616 
= 16.0
= 16.0
Other limits x→0, -oo, +oo, 1
lim⁡x→−2−(4x2)=16\lim_{x \to -2^-}\left(4 x^{2}\right) = 16
More at x→-2 from the left
lim⁡x→−2+(4x2)=16\lim_{x \to -2^+}\left(4 x^{2}\right) = 16
lim⁡x→∞(4x2)=∞\lim_{x \to \infty}\left(4 x^{2}\right) = \infty
More at x→oo
lim⁡x→0−(4x2)=0\lim_{x \to 0^-}\left(4 x^{2}\right) = 0
More at x→0 from the left
lim⁡x→0+(4x2)=0\lim_{x \to 0^+}\left(4 x^{2}\right) = 0
More at x→0 from the right
lim⁡x→1−(4x2)=4\lim_{x \to 1^-}\left(4 x^{2}\right) = 4
More at x→1 from the left
lim⁡x→1+(4x2)=4\lim_{x \to 1^+}\left(4 x^{2}\right) = 4
More at x→1 from the right
lim⁡x→−∞(4x2)=∞\lim_{x \to -\infty}\left(4 x^{2}\right) = \infty
More at x→-oo
Numerical answer [src] 
16.0
16.0
The graph
Limit of the function 4*x^2
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