If x=\frac{1}{2+\frac{3}{4+\frac{5}{6+\frac{7}{8+\frac{9}{10}}}}} then which one of the following is correct?
- A. 0 \lt x \lt 0.5 ✓
- B. x=0.5
- C. 0.5 \lt x \lt 1.0
- D. x \gt 1.0
Correct Answer: A. 0 \lt x \lt 0.5
Explanation
Since all terms are positive, the denominator is strictly greater than 2. Therefore, the fraction value x = \frac{1}{2 + \text{positive}} \lt \frac{1}{2}, making 0 \lt x \lt 0.5.
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