I am having problems understanding how to verify this identity. I am quite sure that it is to be solved using the Pythagorean identities but, alas, I'...

Can anyone explain to me what identities are used to get the solution: $$\sum_{t=1}^{n} \frac{\Gamma(t+a)}{\Gamma{(t)}}=\frac{n\Gamma(a+n+1)}{(a+1)\Gamma{...

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I have not been able to find any literature on this, so if somebody could point me in the right direction that would be useful. The Dense Ordering princip...

I am absolutely confused about trying to calculate circumference. And I do not mean using the math formula, I mean back in old days when people had very p...

Write the complex number in trigonometric form, once using degrees and once using radians. Begin by sketching the graph to help find the argument θ. (Do n...

Is there an infinite sequence of real numbers $a_1, a_2, a_3,...$ such that ${a_1}^m+{a_2}^m+a_3^m+...=m$ for every positive integer $m$? I tried assuming...

The title of this question is almost a retorical question. My point is that there is no way to define probability in a non circular manner. Let's say...

I'm using the quotient rule and so I rewrite $\sec^2x$ as $\frac{1}{\cos^2x}$ Then set $u = 1,$ $u'= 0$ then $v = \cos^2x$ and $v'= -2\sin ...

A function $f(x)$ is defined as $f(x) = \begin{cases}e^x & < 1 \\ \ln x + ax^2 + bx & \ge 1 \end{cases}$ where $x \in \mathbb R$ which one of t...