Math 2.0

concept

Limit of a function of several variables

Summary

The limit of a function of several variables at a point aa is the value that f(x)f(x) approaches when xx approaches aa in Euclidean space. The approach can be from any direction and along any route. The distance in Rn\mathbb{R}^n measures how close xx is to aa.

What this node needs for W1
  • an inventory row: the row of the inventory that the node accounts for (0 of 1)

The writing levels say how complete the text of a node is. They do not measure its truth.

What this needs

To read this node, read these 4 nodes in this order. The foundations come first, and the list ends with this node.

Euclidean space, object, no evidence levelEuclidean spaceobjectFunction, concept, no evidence levelFunctionconceptFunction of several variables, concept, no evidence levelFunction of several v…conceptLimit of a function of several variables, concept, no evidence levelLimit of a function o…concept
Each node uses the nodes above it. The colour of the bar on a box shows the evidence level, and the box also gives it as text. The list below has the same nodes.
  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Function of several variables concept
  4. Limit of a function of several variables concept

What depends on this

116 nodes use this node, directly or through other nodes.

Sources

  1. Web https://en.wikipedia.org/wiki/Limit_of_a_function, Functions of more than one variable

What links here

Used by

Definitions