Mathematics · Calculus and Limits

Consider the absolute value function f(x) = |x|. At the origin x = 0:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1f(x) is continuous but not differentiable✓
2f(x) does not have a limit
3f(x) is discontinuous
4f(x) is differentiable

Correct answer

f(x) is continuous but not differentiable

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

Preparing for Mathematics?

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Start Free Mock Test →

Chapter Practice

Want more practice questions on Calculus and Limits?

Solve complete topic-wise tests with detailed solutions on GkGet.

Practice Calculus and Limits MCQs →

Recommended practice questions in Mathematics · Calculus and Limits

Browse More Mathematics →

Which of the following events is considered a major turning point that fueled Indian nationalism during British rule due to its brutal nature and widespread condemnation?

Solve Question→

Which of the following events is considered the first major peasant uprising against the British in India?

Solve Question→

Consider the absolute value function f(x) = |x|. At the origin x = 0:

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions

Consider the absolute value function f(x) = |x|. At the origin x = 0:

Download Single Question PDF

Share with Friends & Study Groups

Preparing for Mathematics?

Related Practice Questions

Practice by Subject

Practice by Exam

Topic-Wise Solved Questions