JEE Main 2022 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 25 July 2022, Shift 2, Maths Q6

Question 6 of 90 in this shift, Maths question 6 of 30, Section A.

\lim_{x\to\frac{\pi}{4}}\frac{8\sqrt{2}-(\cos x+\sin x)^{7}}{\sqrt{2}-\sqrt{2}\sin 2x}

is equal to

(1) $14$ Official answer
(2) $7$
(3) $14\sqrt{2}$
(4) $7\sqrt{2}$

Official answer

Option 1

NTA final key.

Chapter: Limits and Derivatives
Topic: L'Hopital's Rule
Idea tested: Single Application of L'Hopital

Same topic in other shifts

All L'Hopital's Rule questions

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.