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awarded  Famous Question
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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?
Jul
28
accepted Show that symmetric difference is $A \Delta B = (A \cup B)$ \ $(A\cap B)$