Question:
If \( a > b > 1 \), then
\( \lim_{n \to \infty} \dfrac{a^n + b^n}{a^n - b^n} \)
is equal to
If \( a > b > 1 \), then
\( \lim_{n \to \infty} \dfrac{a^n + b^n}{a^n - b^n} \)
is equal to
\( \lim_{n \to \infty} \dfrac{a^n + b^n}{a^n - b^n} \)
is equal to
Show Hint
Factor out highest power for limits with exponents.
Updated On: Mar 23, 2026
- \(-1\)
- \(1\)
- \(0\)
- None of these
Show Solution
Verified By Collegedunia
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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