Mathematics Asked by NaturalMathLover on February 10, 2021
Can someone verify my proof this is what I have so far?
Proof using the Weirstrass M. test. Assume $x in S,$ that is, $[0,1].$ Then
$$|f_n(x)|= frac{x^{2n}}{(n+x)^2} leq frac{1}{n^2}$$
$$leq frac{1}{n^2} = M_n$$ for all $x in S$ and all $n in mathbb{N}.$ Hence
$$sum^infty _{n=1} M_n= sum frac{1}{n^2}$$ converges by the $p-text{series}$ test.
Get help from others!
Recent Questions
Recent Answers
© 2024 TransWikia.com. All rights reserved. Sites we Love: PCI Database, UKBizDB, Menu Kuliner, Sharing RPP