JEE Main 2022 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 26 July 2022, Shift 1, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

If the function

f(x) = \begin{cases} \dfrac{\log_e (1 - x + x^2) + \log_e (1 + x + x^2)}{\sec x - \cos x}, & x \in \left(\dfrac{-\pi}{2}, \dfrac{\pi}{2}\right) - \{0\} \\ \mathrm{k}, & x = 0 \end{cases}

is continuous at

x = 0

, then k is equal to :

(1) $1$ Official answer
(2) $-1$
(3) $e$
(4) $0$

Official answer

Option 1

NTA final key.

Chapter: Continuity and Differentiability
Topic: Continuity and Differentiability
Idea tested: Finding Unknown Constants for Continuity

Same idea in other shifts

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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.