limits

The concept of a _limit_ is fundamental in mathematics. Intuitively, the limit of a function \( f(x) \) as \( x \) approaches a point \( x_0 \) allows us to analyze the behavior of the function as the values of \( x \) get arbitrarily close to \( x_0 \).

Asymptotes are lines that a function gets closer to but never touches, describing its behavior at infinity or near undefined points.

The symbol o(x), pronounced is one of the Landau symbols and is used to express the asymptotic behavior of a given function.

L’Hôpital’s rule is a method for evaluating certain limits that result in indeterminate forms. The theorem establishes a criterion for resolving the indeterminate form of the limit of one or more functions by utilizing their derivatives.