If $0 < a < b$, then $\mathop {\lim }\limits_{n \to \infty } \frac{{{a^n} + {b^n}}}{{{a^n} - {b^n}}}$

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

0 < a < b

, then

\lim\limits_{n \to \infty } \frac{{{a^n} + {b^n}}}{{{a^n} - {b^n}}}

View answer and explanation

Correct option: B

Equals

- 1

Option B (-1) is correct because as n approaches infinity, (a/b)^n approaches 0, simplifying the expression.

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