Limits, Continuity & Differentiability
Limit Evaluation
Grade 12
Question:
<p><strong>Problem 1(C):</strong> Find $\lim_{x \to \frac{\pi}{2}^+} \frac{\cos(\tan^{-1}(\tan x))}{x - \frac{\pi}{2}}$</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: Simplify inverse trigonometric compositions and use limit properties near boundary values.
<p>Answer: C → R</p>
Correct Answer: R