Estimating 3

Given the desired depth of calculation

This calculator estimates 3 to the requested level of nested terms. It uses the following formula:

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

To use the calculator simply enter the depth of the calculation (the number of terms or square roots utilized). The display shows the result and the difference from $3$

Enter the number of terms to utilize: Depth of Calculation

3 estimate =
Error =

This calculator reaches Javascript's 21 digits of precision limit at a depth of 57.