Let . If , find the value of g.

$7\bowtie g\\ = 7 + \sqrt{g+\sqrt{g+\sqrt{g+\cdot\cdot\cdot}}}$

That means the whole thing after the 7 must be equal 2.

The dots means extended to infinity.

Therefore let $x=\sqrt{g+\sqrt{g+\sqrt{g+\cdot\cdot\cdot}}}$(it equals 2 at the same time.)

$\sqrt{g+x} = x\\\sqrt{g+2} = 2\\ g + 2 = 4\\ g = 2$

Finished!!

Max: Sorry for my ignorance, but what does that "squiggle" between a and b mean?