Select the definition type (Weierstrass / Neighbourhoods)[br]Move the slider [i]ε[/i] to view how the neighbourhoods involved in the definition change accordingly.[br]Move [i]x[/i] to view the corresponding values of f(x) in the interval in which the limit is satisfied.

The line [math]y=\ell[/math] is ........ of the curve.[br][br]Apply the definition and state which of the following limits are correct:[br][br][math]\displaystyle{\lim_{x \to + \infty} \left( \frac{1}{3} \right) ^{x+2} = 0}[/math][br][br][math]\displaystyle{\lim_{x \to + \infty} \frac{2}{3-x^2} = 0}[/math][br][br][math]\displaystyle{\lim_{x \to + \infty} \frac{2x+3}{x+1} = 3}[/math]