Limits, Continuity & Differentiability
General
Grade 12

Question:

<p>Limit check for piecewise f(x):</p>

Step-by-Step Solution

Key Concept: General
<p>• RHL: \lim_{x \to 0+} tan2 x</p> x2 = 1. • LHL: \lim_{x \to 0-} p {x} cot{x} = \sqrt 1 \cdot cot 1. • (C) cot-1( \sqrt cot 1)2 = cot-1(cot 1) = 1.
Correct Answer: (A, C)

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