Question:
Evaluate
limₙtₒᵢₙfty(aⁿ+bⁿ)/(aⁿ-bⁿ), where a>b>1
Evaluate
limₙtₒᵢₙfty(aⁿ+bⁿ)/(aⁿ-bⁿ), where a>b>1
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For limits with powers, divide by the highest power.
Updated On: Mar 19, 2026
- \(-1\)
- \(1\)
- \(0\)
- None of these
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The Correct Option is B
Solution and Explanation
Dividing numerator and denominator by aⁿ:
(1+(b/a)ⁿ)/(1-(b/a)ⁿ)
Since 0<(b)/(a)<1,
(b/a)ⁿ\to0
Limit =1.
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