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 Sep6 awarded Yearling Oct2 comment Show that $\sum_{n=1}^\infty \frac {\sqrt{a_n}}{n}$ converges if $\sum_{n=1}^\infty{a_n}$ does provided that $a_n>0$ You have to pay attention when you say $a_n$ converges although you mean the convergence of $\sum_{n=1}^\infty{a_n}$! I edited my answer. Oct2 revised Show that $\sum_{n=1}^\infty \frac {\sqrt{a_n}}{n}$ converges if $\sum_{n=1}^\infty{a_n}$ does provided that $a_n>0$ added 1003 characters in body Sep30 answered Show that $\sum_{n=1}^\infty \frac {\sqrt{a_n}}{n}$ converges if $\sum_{n=1}^\infty{a_n}$ does provided that $a_n>0$ Sep29 awarded Critic Sep28 answered Proving that $x^3 +1=15x$ has at most three solutions. in the interval [-4,4]. Sep21 revised If $A$ is symmetric show that $(BA^{-1})^T(A^{-1}B^T)^{-1}=I$ added 151 characters in body Sep21 answered If $A$ is symmetric show that $(BA^{-1})^T(A^{-1}B^T)^{-1}=I$ Sep20 comment Prime ideals in $\mathbb{Z}[x]$ math.lsu.edu/~hoffman/7280alggeom/lect37.pdf Sep14 comment $\overline A - \overline B \subset \overline{A - B}$ You should replace sequences by nets here, which will also lead to the goal. Sep14 comment Spivak's Calculus (Chapter 5, Problem 41): Proof that $\lim_{x \to a} x^2 = a^2$ I don't see any fallacy. Sep14 revised How many multiples of two primes equal eachother edited body Sep14 revised How many multiples of two primes equal eachother added 118 characters in body Sep14 answered How many multiples of two primes equal eachother Sep14 revised $\overline A - \overline B \subset \overline{A - B}$ deleted 5 characters in body Sep14 answered $\overline A - \overline B \subset \overline{A - B}$ Sep13 awarded Supporter Sep13 awarded Nice Answer Sep13 answered How does one show that $\lim_{n \rightarrow \infty}\int_{0}^{1}\frac{x^{n}}{1 + x^{n}}\, dx = 0$? Sep7 awarded Teacher