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Limit of the function/ x+y^3

Limit of the function x+y^3

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         /     3\
   lim   \x + y /
     ___         
x->\/ 3 +
$$\lim_{x \to \sqrt{3}^+}\left(x + y^{3}\right)$$ 
Limit(x + y^3, x, sqrt(3))
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
One‐sided limits [src] 
         /     3\
   lim   \x + y /
     ___         
x->\/ 3 +
$$\lim_{x \to \sqrt{3}^+}\left(x + y^{3}\right)$$ 
  ___    3
\/ 3  + y
$$y^{3} + \sqrt{3}$$ 
         /     3\
   lim   \x + y /
     ___         
x->\/ 3 -
$$\lim_{x \to \sqrt{3}^-}\left(x + y^{3}\right)$$ 
  ___    3
\/ 3  + y
$$y^{3} + \sqrt{3}$$ 
sqrt(3) + y^3
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \sqrt{3}^-}\left(x + y^{3}\right) = y^{3} + \sqrt{3}$$
More at x→sqrt(3) from the left
$$\lim_{x \to \sqrt{3}^+}\left(x + y^{3}\right) = y^{3} + \sqrt{3}$$
$$\lim_{x \to \infty}\left(x + y^{3}\right) = \infty$$
More at x→oo
$$\lim_{x \to 0^-}\left(x + y^{3}\right) = y^{3}$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x + y^{3}\right) = y^{3}$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x + y^{3}\right) = y^{3} + 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x + y^{3}\right) = y^{3} + 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x + y^{3}\right) = -\infty$$
More at x→-oo
Rapid solution [src] 
  ___    3
\/ 3  + y
$$y^{3} + \sqrt{3}$$
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