Mathematics · Real Analysis
For a non-negative real number a, let √a denote its non-negative square root. Consider the sequence {xn}n ≥ 1 defined by x1 = 1 and xn+1 = √(1 + xn2n) for n ≥ 1. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1limsupn → &infty; xn = 1 + √2
- 2limsupn → &infty; xn = 2
- 3limsupn → &infty; xn = √2
- 4limsupn → &infty; xn = 1✓
Correct answer
limsupn → &infty; xn = 1
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