Select the definition type (Weierstrass / Neighbourhoods)[br]Move the slider [i]M[/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.

Apply the definition and state which of the following limits are correct:[br][br][math]\displaystyle{\lim_{x \to +\infty}(1+e^{2x}) = +\infty}[/math][br][br][math]\displaystyle{\lim_{x \to +\infty}log\frac{1}{1+x^2} = +\infty}[/math][br][br][math]\displaystyle{\lim_{x \to +\infty}e^{x^2} = +\infty}[/math]