Infinite Square Roots!

Number Theory Level 4

Find the value of

1−1716−1−1716−1−…\sqrt {1 - \sqrt {\dfrac {17}{16} - \sqrt {1 - \sqrt {\dfrac {17}{16} - \sqrt {1 - \ldots}}}}}

Assume, when taking the limit, that deep within the nested square roots we choose to begin with a “1” .

Sharky Kesa by Sharky Kesa
×

Problem Loading...

Note Loading...

Set Loading...