JEE Main 2025 · MathsNumerical answerNumerical valueHardCalculation

JEE Main 7 April 2025, Shift 2, Maths Q25

Question 25 of 75 in this shift, Maths question 25 of 25, Section B.

If the function

f(x)=\frac{\tan(\tan x)-\sin(\sin x)}{\tan x-\sin x}

is continuous at

x=0

, then

f(0)

is equal to ________.

Official answer

NTA final key.

Chapter: Continuity and Differentiability
Topic: Continuity and Differentiability
Idea tested: Limits via Series Expansion for Continuity

Same idea in other shifts

Asked 4× in all

5 Apr 2024, Shift 1 · Q7If the function $f(x)=\frac{\sin3x+\alpha\sin x-\beta\cos3x}{x^3}$ , $x\in\mathbb{R}$ , is continuous at $x=0$ , then $f(0)$ is equal to :MediumSingle correct
22 Jul 2021, Shift 2 · Q65Let $f:\mathbf{R}\to\mathbf{R}$ be defined as…HardSingle correct
17 Mar 2021, Shift 1 · Q84If the function $f(x)=\frac{\cos(\sin x)-\cos x}{x^{4}}$ is continuous at each point in its domain and $f(0)=\frac{1}{k}$ , then k is…MediumNumerical value

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.