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Limit of the function/ y*x^2

Limit of the function y*x^2

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      /   2\
 lim  \y*x /
x->-2+
$$\lim_{x \to -2^+}\left(x^{2} y\right)$$ 
Limit(y*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
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to -2^-}\left(x^{2} y\right) = 4 y$$
More at x→-2 from the left
$$\lim_{x \to -2^+}\left(x^{2} y\right) = 4 y$$
$$\lim_{x \to \infty}\left(x^{2} y\right) = \infty \operatorname{sign}{\left(y \right)}$$
More at x→oo
$$\lim_{x \to 0^-}\left(x^{2} y\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x^{2} y\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x^{2} y\right) = y$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x^{2} y\right) = y$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x^{2} y\right) = \infty \operatorname{sign}{\left(y \right)}$$
More at x→-oo
Rapid solution [src] 
4*y
$$4 y$$
Expand and simplify
One‐sided limits [src] 
      /   2\
 lim  \y*x /
x->-2+
$$\lim_{x \to -2^+}\left(x^{2} y\right)$$ 
4*y
$$4 y$$ 
      /   2\
 lim  \y*x /
x->-2-
$$\lim_{x \to -2^-}\left(x^{2} y\right)$$ 
4*y
$$4 y$$ 
4*y
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