Limits, Continuity & Differentiability
Evaluation of Limits
Grade 12
Question:
<p>The value of <span>\(\lim_{n \to \infty} \frac{a^n + b^n}{a^n - b^n}\)</span>, where \(a > b > 1\), is</p>
<p>(a) 1</p>
<p>(b) -1</p>
<p>(c) \(\frac{1}{2}\)</p>
<p>(d) \(\frac{1}{2}\)</p>
Step-by-Step Solution
Key Concept: Factor out $a^n$ from both numerator and denominator; since $a > b$, the term $(b/a)^n \to 0$ as $n \to \infty$.
<p>No solution provided in the page text.</p>
Correct Answer: A