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Mathematics
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Colver's user avatar
Colver's user avatar
Colver
  • Member for 4 years, 11 months
  • Last seen this week
  • Chisinau, Moldova
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12
Finding the limit of $a_{n} = \frac{n!}{\left(\frac{2}{7} + 1\right)\left(\frac{2}{7} + 2\right)\ldots\left(\frac{2}{7} + n\right)}$
Jan 28
7
If $(3+\sqrt{8})^{2023} = a + b\sqrt{8}$ where $a$ and $b$ are integers, then $a$ is the product of two numbers which differ by 2.
Apr 1, 2023
3
Find the limit $\lim_{n \to \infty} \frac{a_1 + a_2 + a_3 + ... + a_n}{\ln(n)}$ where $a_{n} = \int_{1}^{e} \ln^{n}(x)dx$
Jun 2, 2022
2
If $f$ is differentiable at $a$, does it imply that $\lim\limits_{x,y\to a\atop x\ne y} \frac{f(x) - f(y)}{x-y} =f^{\prime}(a)$? [duplicate]
May 10
2
Find the $n$th term of sequence in the form of $a_{n+2}=ba_{n+1}+ca_n+d$
May 24, 2020
1
Trouble evaluating a limit using Taylor series
Jun 19, 2021
1
Proving specific properties of $x_{n+1} = x_n + \frac{1}{nx_n}$ where $x_1 = \frac{1}{2}$
Jan 31
1
Show that for any non-zero vectors $v_1, v_2, ... v_m \in \mathbb{R}^n$ there exists a hyperplane which does not contain any of them.
Feb 6
1
Rotman's Introduction to the Theory of Groups Exercise 1.27
Apr 29, 2020
1
how to show that I is an ideal of Z[x]
Jun 21, 2020