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- Jan 26, 2012
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Thanks again to those who participated in last week's POTW! Here's this week's problem!
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Problem: Use the $\epsilon-\delta$ definition of the limit to prove that $\displaystyle \lim_{(x,y)\to(0,0)} \frac{3x^2y}{x^2+y^2} = 0$.
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Hint:
Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: Use the $\epsilon-\delta$ definition of the limit to prove that $\displaystyle \lim_{(x,y)\to(0,0)} \frac{3x^2y}{x^2+y^2} = 0$.
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Hint:
As you start finding upper bounds for the multivariable inequalities, keep in mind that $x^2\leq x^2+y^2$ since $y^2\geq 0$.
Remember to read the POTW submission guidelines to find out how to submit your answers!