I searched and couldn't find it on the site, so here it is (quoted to the letter):
On this infinite grid of ideal one-ohm resistors, what's the equivalent resistance between the two marked nodes?
I'm not really sure if there is an answer for this question. However, given my lack of expertise with basic electronics, it could even be an easy one.
Answer
The answer is $\frac{4}{\pi} - \frac{1}{2}$.
Successive Approximation! I'll start with the simplest case (see image below) and add more and more resistors to try and approximate an infinite grid of resistors.
$$R_{m,m}=\frac 2\pi \left( 1 + \frac 13 + \frac 15 + \frac 17 + \dots + \frac 1 {2m-1} \right)$$
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