Question

Show that for the function f given by:

equation

 

equation

 

equation

04 Sep 2025
Answer :
Word Count : 132
For fixed $x$ (with $x$ not necessarily zero) evaluate the inner limit $$ \lim_{y\to 0}\frac{xy}{x^2+y^2}=\frac{x\cdot 0}{x^2+0^2}=0. $$ Now take the outer limit: ________ _________ __________ _______ ______ _______ ____.
__________ ______ ______ ___ ____.
__________ __________ _______ _________ ___.
_________ __________ ___ ____ ____.
___ ____ ___ __________ _____ _____ ____ _______ ______ _____ ________.
________ _________ ________ _________ ______ _______ ____.
________ _______ ___ ______ ______ _________ _____ ________ __________ ______ ____ ______.
_________ ________ ______ _________ ______ ___ ________ ____.
_______ ________ ___ _____ ________ ____ ______ ________ ___ _______.
__________ __________ ___ ___ ___ _______ ______ ____ _____ ______ ________ ______.
___ __________ ___ _______ ________ __________ ___ ___ ________ _______ _______.
____ ______ __________ ____ __________.
______ ____ _______ _________ ________ _______.
____ __________ __________ __________ __________ ________.
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