Determine whether the series converges or diverges. $$ \sum _{n=1}^{\infty }\:\left(\frac{19}{n!}\right) $$ I know that this question a lot easier if I us...

I'm supposed to find the basic solutions of the given LPP graphically. I know what a bfs means, I can find that in other way (I mean by method mentio...

I just thinking what $i^{i}$ should be, arrived at a quiet awkward thing. So this was that awkward thinking : Let $ i^{i} = a$ $(i^{i})^{2i} = a^{2i}$ $i^...

I am on the final question of a textbook chapter on radicals and this question feels more challenging, perhaps that's the idea. If you view my post h...

If you choose n cards with replacement (randomly choose a card, note what it is in a list, replace it in the deck, and repeat), then what is the probabili...

Is there an equation that, given the two points of a line segment, will result, when graphed for x on a real graph, in a line segment?

I'm not sure where to start on this proof...also, my book didn't give any clarification as to what $f$ and $\textbf{F}$ are. Usually $F$ is a sc...

Problem : Solve the equation $|2x-1| - |x+5| = 3$ In my attempt to solve the problem, I only manage to get one of the solutions. Attempted Solution $$\beg...

This is a question which has been giving me all sorts of goosebumps. I am losing confidence due to this question. I have constructed the hypotenuse which ...

It is a question in one problem book: Prove $\ln\frac{p}{q}\leq \frac{p-q}{\sqrt{pq}}$ for $0<q\leq p$. Actually I already solved it: Define $F(x)=\fra...