Infinite factorials

6n×111×222××nnn \sqrt{6n \times \sqrt{1\sqrt{1\sqrt{1\ldots}}} \times \sqrt{2\sqrt{2\sqrt{2\ldots}}} \times \ldots \times \sqrt{n\sqrt{n\sqrt{n\ldots}}} }

For a particular positive value of nn, the expression with infinitely nested radicals above can be simplified to 12n12n. What is the value of nn?

×

Problem Loading...

Note Loading...

Set Loading...