Recent content by Imaxx

While transforming the equation of the Basel problem, the following infinite series was obtained. $$\sum_{n=1}^{\infty} \frac{n^2+3n+1}{n^4+2n^3+n^2}=2$$ However I couldn't think of a simple way to prove that. Can anyone prove that this equation holds true?

from what to what? 1 to ∞?

∞ ∑ (n∧2+3n+1) / (n∧4+2n∧3+n∧2) =? n=1 I attempted to find the general sum of this 'expression'?? But no luck. How can I solve this?

Forgive me for my lack of understanding in physics and English, but why will the traveler be younger when they meet? Isn't this situation symmetrical to each other?

Let's imagine that there are two people who has the same biological age. One is inside a spaceship, currently crossing a Quasar(A) in a constant velocity near the speed of light toward the Earth and the other is on Earth(B). In this situation, what will happen when A moves to the Earth and meets...