Question

 Show that the following function is not continuous at (0,0):

equation

04 Sep 2025
Answer :
Word Count : 89
Consider the sequence $(x_n,y_n)=\big(\tfrac{1}{n\pi},\tfrac{1}{n\pi}\big)$ for $n\in\mathbb{N}$. For every $n$ both coordinates are nonzero and ____ ________ _______ __________ ________ _____ _________.
_____ __________ ___ ________ _____ ___ ____ ________ ________ ____ _____ ___.
____ __________ __________ ________ ____ _______ __________ _________ ____ __________ ____ _____.
_________ ____ __________ _____ ______ ___ ___.
_______ ________ ________ ______ __________ __________ _____ _____.
_______ ______ ________ _____ ___ __________ _____ _______ _______ ________ __________.
_________ ___ ________ ______ _______.
___ ______ _______ ________ ___ ____ ____ ________ _______ ____.
_____ _________ _________.
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