Questions 8 and 9 remind me of a math YouTube video I saw recently about "weird" infinite series that can sometimes be solved quite easily. IIRC Consider sqrt(

Questions 8 and 9 remind me of a math YouTube video I saw recently about "weird" infinite series that can sometimes be solved quite easily. IIRC Consider sqrt(x+sqrt(x +... = x You need to check the series converges (this can sometimes be tricky but seems the questions tell you they converge). Then you can do this substitution for the infinite piece: sqrt(x+x) = x x^2 = 2x x^2 - 2x = 0 ... y = 1/(1+y) [IIRC there are situations where a different substitution yields a different result - I don't recall the details]