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

Apply the definition and state which of the following limits are correct:[br][br][math]\displaystyle{\lim_{x \to -5} \frac{x^2+9x+18}{3x+18} = -1}[/math][br][br][math]\displaystyle{\lim_{x \to 2} 2^x = 4}[/math][br][br][math]\displaystyle{\lim_{x \to 0} \frac{4^x-1}{2^x-1} = 2}[/math]