Word Count : 89

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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 $(x_n,y_n)\to(0,0)$ as $n\to\infty$. _____ _________ ____ _____ ________ __________ ______ _________ ________ _______.
_______ _______ ____ __________ _____ ___ ___ ___.
_________ ___ ___ _________ ________ _______ ________ _____ _____ ________.
___ _______ ______ ______ ____ ____ ___ _____ ______ _______.
_______ __________ ________ ___ _________ _______ _____.
_______ __________ _______ _________ _________ ___ ___.
______ ____ _________ _________ _______ _______ __________ _______ ___ __________.
________ ______ ___ __________ _____ ____.
___ _________ ________ _______.
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