Question:

If a>b>1, then limₙtₒᵢₙfty(aⁿ+bⁿ)/(aⁿ-bⁿ) is equal to

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Factor out highest power for limits with exponents.
Updated On: Mar 20, 2026
  • \(-1\)
  • \(1\)
  • \(0\)
  • None of these
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The Correct Option is B

Solution and Explanation


Step 1:
Divide numerator and denominator by aⁿ. (1+(b/a)ⁿ)/(1-(b/a)ⁿ)
Step 2:
Since b/a<1, limit → 1.
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