Show that the limit of the function  exists at the origin, where: 

Do the repeated limits of  exist? Justify your answer.

To show that the limit of the function \( f(x,y) \) exists at the origin \((0,0)\), we need to demonstrate that the limit as \((x, y)\) approaches \((0,0)\) of \( f(x,y) \) exists and is equal to \(0\).

Let's evaluate the limit:

\[
\lim_{{(x, y) \to (0,0)}} f(x,y) = __________ _________ __________ _____ ___ _____ ____ ___.
___ _____ ____ ______ ______ ___ _____ _________ ____ ____ ___.
_________ ______ _________ _______ _______ _______ ____ _______ _________.
_______ ______ ______ ____ ______ ____ ______ __________ ___.
_____ ___ __________ ________ ____ ________ ________ ____ __________ ________.
__________ ______ __________ ________ __________ _____ _______ ______ ____ ________.
_________ _________ ___ __________ ______ _____ ______ __________ _____ _____ ___ ____.
________ ______ ____ _________ __________ ________.
_______ ______ _______ _________ _________ __________ __________ ___ ______ ____ ___ ____.
____ _________ _________ _________ _________ __________ _______ __________ __________.
__________ _________ ________ _________ ________ _________.
___ ________ ____ ______ __________ ____ ___ ______ ___ _______ ___ ___.
_________ _____ _______ _____ ________ _________ _________ ___.
______ _______ _____ ____ ______.
__________ ___ ____ ________ __________ _____.
__________ __________ _______ ____ __________.
____ ____ ________ _______ ________ ________ ______ __________ ____ ____ _______.
__________ ________ _______ ____ __________ _______ _____ ______ ________ ________.
________ _________ _______ ________ __________ ______ _________ _________ _________ _________ __________ ______.
______ ______ ________ _________ _________ ____ _________ ______ ___.
__________ ________ _____ _____ ______ ____ ___ ________.
__________ _____ _________ _________ ________ __________ ___ _________ __________.
______ __________ ____ _________.
Get Full Answer on WhatsApp