Limit

limit(Function, Identifier, Real | Infinity)

limit(Function, Real | Infinity)

limit(Function, Identifier, Real, Integer)

limit(Function, Real, Integer)

Given a function $f(x_1,...,x_n)$, an identifier $x_i$ and $x_0\in \mathrm{ℝ}\cup \infty$, computes the limit $\underset{x_i\to x_0}{\lim }f(x_1,...,x_n)$

Given an univariate function $f\left(x\right)$ and $x_0 \in \mathbb{R} \cup \infty$, computes the limit $\underset{x\to x_0}{\lim }f\left(x\right)$

Given a function $f(x_1, ..., x_n)$, an identifier $x_i$, $x_0\in \mathrm{ℝ}$ and an integer $r\in \{-1,0,+1\}$, computes the limit $\underset{x_i\to x_0^r}{\lim }f(x_1,...,x_n)$, where $x_0^r$ stands for the limit for the left when $r=-1$, for above when $r=+1$ and it stands for the ordinary limit when $r=0$.

Given an univariate function $f(x)$, $x_0 \in \mathbb{R}$ and an integer $r \in \lbrace -1, 0, +1 \rbrace$, computes the limit $\underset{x\to x_0^r}{\lim }f\left(x\right)$, where $x_0^r$ stands for the limit for the left when $r=-1$, for above when $r=+1$ and it stands for the ordinary limit when $r=0$.

Differentiate, Taylor