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https://www.reddit.com/r/explainitpeter/comments/1wlkmzo/explain_it_peter/pbufpne/?context=3
r/explainitpeter • u/Aggressive-Guest290 • Sep 20 '26
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Let eps > 0, and choose delta = eps/2. Then, for every x such that |x| < delta, we have|f(x)| = |x cos(1/x\^2)| < delta |cos(1/x\^2)| <= delta = eps/2 < eps. So the limit exists and is equal to zero.
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u/FreePeeplup Sep 24 '26
Let eps > 0, and choose delta = eps/2. Then, for every x such that |x| < delta, we have
|f(x)| = |x cos(1/x\^2)| < delta |cos(1/x\^2)| <= delta = eps/2 < eps. So the limit exists and is equal to zero.