Question

Prove that $1+{1\over 1+{1\over 1+{1\over 1+{1\over 1+...}}}}=\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+...}}}}$

score 481 · Answer 1 · 2026-03-17 14:52:49

481

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Prove that $1+{1\over 1+{1\over 1+{1\over 1+{1\over 1+...}}}}=\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+...}}}}$

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362

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207

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39

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List Question

Prove that $1+{1\over 1+{1\over 1+{1\over 1+{1\over 1+...}}}}=\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+...}}}}$

Prove that a simple connected graph has even numbers of vertex

How to prove convergence of a sequence of binary numbers

Calculate how many of a compound discounting/increasing asset i can purchase with a set amount (with limited equation

show that non degeneracy sets are equipotent between them.

Simple question on simple functions: interpreting the sum sign

Uniqueness in the decomposition of a simple function in the canonical form.

Approximating measurable functions by simple functions on measurable sets.

Lebesgue Integrability of $x^{-p}$

How to build a simple Mathematical formula with matching condition

Continuity implies $\mu$-strongly measurability?

How to find $n$ in this equation? (involving modulus)

Showing that Continuous functions are dense in L1 by use of $\sigma$-algebra.

Equality of simple functions with measures.

A simple function and its canonical form.

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