How can I show that $b_n \rightarrow a$?
13701
Prove convergence of the sequence $(z_1+z_2+\cdots + z_n)/n$ of Cesaro means
115204
Show that SO(n) is a normal subgroup of O(n)
53261
Show that Pn is an (n+1)-dimensional subspace
96366
show that for any n $\in$ $\Bbb N$ , if n $\ge$ 2, then $\prod_\limits{i=2}^n $ $\left( 1-\frac{1}{i^2}\right)$ = $\frac{n+1}{2n}$
111348
Show that $\mathrm{S}_{m} \times \mathbb{N}^{m} \rightarrow \mathbb{N}^{m}$ defines an action of $\mathrm{S}_{m}$ on $\mathbb{N}^{m}$
32009
Prove $\;\big((p\rightarrow q) \lor (p \rightarrow r)\big) \rightarrow (q\lor r)\equiv p \lor q \lor r$ without use of a truth table.
76137
Too simple proof for convergence of $\sum_n a_n b_n$?
22297
Normal operator $\Rightarrow$ S invariant implies $S^\perp$ invariant
63758
$c\mid ab\Rightarrow c\mid \gcd(a,c)\gcd(b,c),\,$ for integers $a, b, c$
18140
When does $\,n\mid q^3 \Rightarrow n\mid q\,$?
41044
Equivalence of $a \rightarrow b$ and $\lnot a \vee b$
52930
Prove or disprove : $a^3\mid b^2 \Rightarrow a\mid b$
92916
Show that $(2,0,4) , (4,1,-1) , (6,7,7)$ form a right triangle
12100
$n \mid (a^{n}-b^{n}) \ \Longrightarrow$ $n \mid \frac{a^{n}-b^{n}}{a-b}$
40848
$a\mid b,c\mid d\Rightarrow\,\gcd(a,c)\mid \gcd(b,d)$
50142
If sup A $\lt$ sup B show that an element of $B$ is an upper bound of $A$
61066
Prove: $(A\rightarrow B),(A\rightarrow C)\rightarrow B, \mapsto_{HPC} B $