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Find the value(approx.) of \(3 + \frac{4}{{5 + \frac{7}{{2 + \frac{6}{{8 + \frac{7}{{2 + \frac{1}{3}}}}}}}}}\)1. 52. 43. 74. 8 |
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Answer» Correct Answer - Option 2 : 4 Calculation: Calculate this continued fraction from bottom \( ⇒ 3 + \frac{4}{{5 + \frac{7}{{2 + \frac{6}{{8 + \frac{7}{{2 + \frac{1}{3}}}}}}}}}\) \( ⇒ 3 + \frac{4}{{5 + \frac{7}{{2 + \frac{6}{{8 + \frac{{21}}{7}}}}}}}\) \( ⇒ 3 + \frac{4}{{5 + \frac{7}{{2 + \frac{{6}}{{11}}}}}}\) \( ⇒ 3 + \frac{4}{{5 + \frac{{77}}{{28}}}}\) \( ⇒ 3 + \frac{{112}}{{217}}\) \( ⇒ \frac{{763}}{{217}}\) ⇒ 109/31 ∴ The value(approx.) of 4. Note: 109/31 = 3.51, According to the question and given Option 4 is the correct answer, 4 is the nearest approx value. |
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