Question

$4 + \frac{1}{4 + \frac{1}{4 \frac{1}{4 + ..... \infty } } }$
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Answer 1

$answer$

$4 + \frac{1}{4 + \frac{1}{4 + \frac{1}{4 + ..... \infty } } }</p><p>$

Let

$4 + \frac{1}{4 + \frac{1}{4 + ...} } \: be \: x$

$x = 4 + \frac{1}{4 + \frac{1}{4 + \frac{1}{4....} } }$

$x = 4 + \frac{1}{x}$

${x}^{2} - 4x - 1 = 0$

x~4.2