Limit and continuity for the function of two variables

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This document discusses limits and continuity for functions of two variables. It was written by Dr. M. V. Dawande from Bhartiya Mahavidyalaya in Amravati. The document examines how to determine limits and continuity for functions with two independent variables.

Limit and Continuity for the
function of Two variables
By:
Dr. M. V. Dawande
Bhartiya Mahavidyalaya
Amravati

In this presentation we will learn Del operator, Gradient of scalar function , Directional Derivative, Divergence of vector function, Curl of a vector function and after that solved some example related to above. Gradient in math Directional derivative in math Divergence in math Curl in math Gradient , Directional Derivative , Divergence , Curl in mathematics Gradient , Directional Derivative , Divergence , Curl in math Gradient , Directional Derivative , Divergence , Curl

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Changing variable is something we come across very often in Integration. There are many reasons for changing variables but the main reason for changing variables is to convert the integrand into something simpler and also to transform the region into another region which is easy to work with. When we convert into a new set of variables it is not always easy to find the limits. So, before we move into changing variables with multiple integrals we first need to see how the region may change with a change of variables. In order to change variables in an integration we will need the Jacobian of the transformation.

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