Quantitative Aptitude Simplification

\( 2+\frac{1}{2-\frac{1}{3-\frac{1}{4-\frac{1}{4}}}}=?\)

1
\(\frac{41}{67} \)
2
\(2 \frac{15}{41} \)
3
\(2 \frac{41}{67} \)
4
\(\frac{15}{41} \)

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