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  • 📥待整理
    • √(6+2√(7+3√(8+...))) = 4
    • x²+y²−z<0 且 x+y+z<3 體積
    • x³ - 3x² + 3x + 7 = 0
    • 雙曲線上兩點的最短距離
    • 拋物線切線所截最小面積
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  1. 📥待整理

√(6+2√(7+3√(8+...))) = 4

參考:

  • What is the value of √(6+2√(7+3√(8+...))) ?arrow-up-right

  • Math Stack Exchange: Prove: = √(6+2√(7+3√(8+...))) = 4arrow-up-right

  • Math Stack Exchange: What is the value of √(1+2√(2+3√(3+...)))?arrow-up-right

  • Desmos: √(6+2√(7+3√(8+...))) = 4arrow-up-right

  • Quora: What is the value of √(1+2√(2+3√(3+...)))?arrow-up-right

  • Wikipedia: [Ramanujan's Infinite Radicals]([[https://en.wikipedia.org/wiki/Nested_radical#Ramanujan's_infinite_radicals](https://en.wikipedia.org/wiki/Nested_radical#Ramanujan's_infinite_radicals)](https://en.wikipedia.org/wiki/Nested_radical#Ramanujan's_infinite_radicals]%28https://en.wikipedia.org/wiki/Nested_radical#Ramanujan's_infinite_radicals%29)\arrow-up-right)

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Last updated 5 years ago