Find out the value of
1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{2}{3}}}}}
[A] \frac{8}{5}
[B] \frac{21}{13}
[C] \frac{34}{21}
[D] \frac{17}{3}

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