Infinite series
problem
Harmonically
Is it true that a large integer m can be taken such that: 1 + 1/2 +
1/3 + ... +1/m > 100 ?
problem
Generally Geometric
Generalise the sum of a GP by using derivatives to make the
coefficients into powers of the natural numbers.
problem
Circles ad infinitum
A circle is inscribed in an equilateral triangle. Smaller circles
touch it and the sides of the triangle, the process continuing
indefinitely. What is the sum of the areas of all the circles?