i can't calculate this lim
\(\lim_{x\rightarrow 0}{\frac{x+Arctan(\sqrt{x+3})+\frac{pi}{3}}{x}}\)
(two-sided limit does not exist)
Limit from the left:
lim_(x->0^-) (x+tan^(-1)(sqrt(x+3))+π/3)/x = -∞
Limit from the right:
lim_(x->0^+) (x+tan^(-1)(sqrt(x+3))+π/3)/x = ∞
Guest, you haven't actually explained anything. You have just written the answer.
That is not very helpful.
My graph demonstrates that your answer is correct BUT it does not explain anything algebraically either.
Herre is the graph that shows our guest is correct :))
+4 
