*The author characterizes the set of possible limits of subsequences of a given sequence.*

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*Two visual proofs of some exponential inequalities are presented.*

*Given any positive integer \(n\), find polynomial curves that have exactly \(n\) tangent lines which intersect the curve exactly once. *

*Solving Pell Equations using Fibonacci-like sequences*

In the game of tennis, if the probability that player \(A\) wins a point against player \(B\) is a constant value \(p\), then the probability that \(A\) will win a game from deuce is \(p^2/(1 - 2p...

*Solving an expected value problem without using geometric series*

*Another approach to trisecting any acute angle*

*Generalized examples of a sphere and a circumscribing cylinder, which can also be used to calculate the surface area of a sphere.*