We Need To Go Radically Deeper

Algebra Level 3

xxxx543 \large \sqrt{ x \sqrt[3]{x \sqrt[4]{x \sqrt[5]{ x \cdots }} }}

Let e=2+11×2+11×2×3+11×2×3×4+ e = 2 + \dfrac1{1\times2} + \dfrac1{1\times2\times3}+ \dfrac1{1\times2\times3\times4} + \cdots .

Which of the following is equal to the expression above. (Take x0x\geqslant 0 )

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