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Mathematics
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Trifon
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3
Show that if the sequence $\{a_n\}_{n=1}^\infty$ converges to $a$, then $\lim_{n\to\infty}\frac{a_1+a_2+\dots+a_n}{n}=a.$
Oct 29, 2023
1
Find the limit $\lim_{n\to\infty}\left(\frac{n^2-4n+3}{n^2-7n+10}\right)^{n+\sin(n!)}$
Oct 31, 2023
1
Finding $\lim_{x\to 1}\left(2-x\right)^{\tan\frac{\pi x}{2}}$
Nov 12, 2023
1
Showing that $f(a, b)=2^a(2b+1)-1$ is surjective
Nov 13, 2023
1
Show that a function is $f$ bijective if $f(f(f(2x+3)))=x$ for all real $x$
Nov 19, 2023
1
A determinant with an interesting construction [duplicate]
Nov 27, 2023
0
Show that $\lim_{n\to\infty}\frac{n^p}{a^n}=0,p\in\mathbb{N},a>1$ [duplicate]
Oct 30, 2023
0
Examine the convergence of a sequence
Nov 2, 2023
0
$\lim_{x\to 0}\frac{\arcsin x}{x}=1$
Nov 12, 2023
0
Determinant $9 \times 9$
Nov 24, 2023