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 Sep 14 awarded Notable Question Apr 26 awarded Famous Question Mar 10 awarded Notable Question Oct 22 awarded Popular Question Sep 24 awarded Autobiographer Jul 27 awarded Yearling Jul 2 awarded Curious Apr 23 awarded Popular Question Feb 24 awarded Popular Question Oct 31 awarded Notable Question Aug 29 comment Prove that $a_n \times b_n \to 0$ for $n \to \infty$ ok, so $\lim_{n\to \infty} |a_n \cdot b_n | \leq M \cdot \lim_{n\to \infty} |b_n|$. Therefore, I can argument that $\lim_{n\to \infty} |a_n \cdot b_n |$ goes to $\infty \leq M \cdot \infty$. Therefore, $0 \leq M$ and $a_n \cdot b_n \to 0$. Aug 29 comment Prove that $a_n \times b_n \to 0$ for $n \to \infty$ Thx for your answer! Ok, then I have $|a_n\cdot b_n|\leq |M\cdot a_n|$ = $|b_n|\leq |M|$ which is true. Is this correct? Aug 29 asked Prove that $a_n \times b_n \to 0$ for $n \to \infty$ Aug 1 asked Prove the triangle inequality Jul 31 accepted Proof that $a\mid b \land b\mid c \Rightarrow a\mid c$ Jul 31 asked Proof that $a\mid b \land b\mid c \Rightarrow a\mid c$ Jul 30 accepted Inverse, Converse and contraposition of statement? Jul 30 comment Inverse, Converse and contraposition of statement? Thx for your answer! I updated my answer! Jul 30 revised Inverse, Converse and contraposition of statement? added 232 characters in body Jul 30 asked Inverse, Converse and contraposition of statement?