Find the exact value of x

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Question: Set up the necessary equation where appropriate and solve the given problems. All numbers are accurate to at least two significant digits.

Find the exact value of x that is defined in terms of the continuing fraction at the right (the pattern continues endlessly). Explain your method of solution.

x = 2 +             1               
          2 +           1              
               2 +      1             
                     2 + . . . .  

Reference no: EM131563110

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