Finite limit of f(x) when x tends to a finite value - Lesson+Practice

The predefined definition in the app is the [math]\varepsilon-\delta[/math] .[br]The button at the bottom right of the app allows you to toggle between this definition and the definition based on neighborhoods.[br][br]Explore the definition step by step, then drag the slider and move point [math]x[/math] to view the values of [math]f\left(x\right)[/math] in the interval in which the limit holds.

Apply the definition and state which of the following limits are correct:

[math]\displaystyle{\lim_{x \to -5} \frac{x^2+9x+18}{3x+18} = -1}[/math] [math]\displaystyle{\lim_{x \to 0} \frac{4^x-1}{2^x-1} = 2}[/math] [math]\displaystyle{\lim_{x \to 2} \left( x^2-\frac{3}{x^2}+2\right)} = 2[/math]

Information: Finite limit of f(x) when x tends to a finite value - Lesson+Practice