Mathematics · Calculus
The function f(x) = x3x for x ≠ 0, and f(0) = 0 is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1Continuous at x = 0, but not differentiable at x = 0.
- 2Not continuous at x = 0, but differentiable at x = 0.
- 3Both continuous and differentiable at x = 0.✓
- 4Neither continuous nor differentiable at x = 0.
Correct answer
Both continuous and differentiable at x = 0.
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Calculus MCQs →Want more practice questions on Calculus?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Calculus