This is the symbol for a limit in calculus. It's a function that models an output, as an input approaches a certain value.
This is the symbol for a limit in calculus. It's a function that models an output, as an input approaches a certain value. For example, \( \htmlClass{sdt-0000000096}{f}(\htmlClass{sdt-0000000003}{x}) = \lim_{\htmlClass{sdt-0000000003}{x} \to 0^{+}} \frac{2}{\htmlClass{sdt-0000000003}{x}} = \infty\) would read:
'The function f, with respect to x, is equal to the limit as x approaches 0 from the positive direction of 2 divided by x is equal to infinity'
\(\lim\) is the symbol for a limit in calculus. It's a function that models an output, as an input approaches a certain value. For example, \( \htmlClass{sdt-0000000096}{f}(\htmlClass{sdt-0000000003}{x}) = \lim_{\htmlClass{sdt-0000000003}{x} \to 0^{+}} \frac{2}{\htmlClass{sdt-0000000003}{x}} = \infty\) would read:
'The function f, with respect to x, is equal to the limit as x approaches 0 from the positive direction of 2 divided by x is equal to infinity'
It can be a limit from the positive direction, meaning that if you have a limit of a function \(\htmlClass{sdt-0000000096}{f}(\htmlClass{sdt-0000000003}{x})\) on the \(xy\)-plane it is right to left. This is expressed as \(\lim_{\htmlClass{sdt-0000000003}{x} \to \htmlClass{sdt-0000000017}{y}^{+}}\). It can also be from the negative direction, meaning it is going left to right. This is expressed as: \(\lim_{\htmlClass{sdt-0000000003}{x} \to \htmlClass{sdt-0000000017}{y}^{-}}\).
It can also be coming from both directions. This value only exists if the limit from the positive direction has the same value as the limit from the negative direction. This is more simply expressed as: \(\lim_{\htmlClass{sdt-0000000003}{x} \to \htmlClass{sdt-0000000017}{y}}\).