Approximating 3

This approximation for the number 3 was discovered by Ramanujan.

$$3=\sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+\dots }}}}$$

The calculator returns a result based on the depth of the approxination.

The upper limit is 55 as entering 55 as the limit reaches the precision of the JavaScript math, 2.9999999999999996.