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3*x^2
Limit of the function/ 3*x^2

Limit of the function 3*x^2

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     /   2\
 lim \3*x /
x->4+
lim⁡x→4+(3x2)\lim_{x \to 4^+}\left(3 x^{2}\right) 
Limit(3*x^2, x, 4)
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
80246-8-6-4-20200
Plot the graph
Rapid solution [src] 
48
4848
Expand and simplify
One‐sided limits [src] 
     /   2\
 lim \3*x /
x->4+
lim⁡x→4+(3x2)\lim_{x \to 4^+}\left(3 x^{2}\right) 
48
4848 
= 48
     /   2\
 lim \3*x /
x->4-
lim⁡x→4−(3x2)\lim_{x \to 4^-}\left(3 x^{2}\right) 
48
4848 
= 48
= 48
Other limits x→0, -oo, +oo, 1
lim⁡x→4−(3x2)=48\lim_{x \to 4^-}\left(3 x^{2}\right) = 48
More at x→4 from the left
lim⁡x→4+(3x2)=48\lim_{x \to 4^+}\left(3 x^{2}\right) = 48
lim⁡x→∞(3x2)=∞\lim_{x \to \infty}\left(3 x^{2}\right) = \infty
More at x→oo
lim⁡x→0−(3x2)=0\lim_{x \to 0^-}\left(3 x^{2}\right) = 0
More at x→0 from the left
lim⁡x→0+(3x2)=0\lim_{x \to 0^+}\left(3 x^{2}\right) = 0
More at x→0 from the right
lim⁡x→1−(3x2)=3\lim_{x \to 1^-}\left(3 x^{2}\right) = 3
More at x→1 from the left
lim⁡x→1+(3x2)=3\lim_{x \to 1^+}\left(3 x^{2}\right) = 3
More at x→1 from the right
lim⁡x→−∞(3x2)=∞\lim_{x \to -\infty}\left(3 x^{2}\right) = \infty
More at x→-oo
Numerical answer [src] 
48.0
48.0
The graph
Limit of the function 3*x^2
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