Limits, Continuity & Differentiability
Limit Evaluation
Grade 12
Question:
<p><strong>Problem 1(B):</strong> Let $f(x) = \lim_{n \to \infty} \tan^n\left(\frac{\pi x}{2}\right)$, then find $\lim_{x \to 0^+} f(x)$</p>
<p>(P) 2</p>
<p>(Q) 0</p>
<p>(R) 1</p>
<p>(S) 3</p>
<p>(T) Non-existent</p>
Step-by-Step Solution
Key Concept: Evaluate the limit of a sequence dependent on trigonometric function behavior as n approaches infinity.
<p>Answer: B → Q</p>
Correct Answer: Q