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