Question 13
Find the positive integer $x$ satisfying
$$x=\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13+\cdots}}}}.$$
The radicands alternate 5 and 13 indefinitely, using non-negative square roots. Interpret the expression as the limit of its finite truncations. Enter the integer $x$.
$$x=\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13+\cdots}}}}.$$
The radicands alternate 5 and 13 indefinitely, using non-negative square roots. Interpret the expression as the limit of its finite truncations. Enter the integer $x$.