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Using L’Hospital’s Rule, evaluate:

Mathematics20173 marksShort answer
Using L’Hospital’s Rule, evaluate: $\lim_{x \to \pi/2} \left(x \tan x - \frac{\pi}{2} \sec x\right)$

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Continuity, Differentiability and Differentiation

From ISC 2017 Mathematics Paper 1, question 1(iv).