$1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{2}}}}$ का मूल्य है

अभिव्यक्ति

$=1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{2}}}}=1+\frac{1}{1+\frac{1}{1+\frac{1}{\frac{3}{2}}}}$

$=1+\frac{1}{1+\frac{1}{1+\frac{2}{3}}}=1+\frac{1}{1+\frac{1}{\frac{3+2}{3}}}$

$=1+\frac{1}{1+\frac{3}{5}}=1+\frac{1}{\frac{5+3}{5}}=1+\frac{5}{8}=\frac{8+5}{8}=\frac{13}{8}$