All Categories Alerts Wishlist Cart

The function f(x) = { x^2, x < 0; 2, x = 0; x + 1, x > 0 } is continuous at x = 0?

Practice Questions

1 question
Q1
The function f(x) = { x^2, x < 0; 2, x = 0; x + 1, x > 0 } is continuous at x = 0?
  1. Yes
  2. No
  3. Only left continuous
  4. Only right continuous

Questions & Step-by-step Solutions

1 item
Q
Q: The function f(x) = { x^2, x < 0; 2, x = 0; x + 1, x > 0 } is continuous at x = 0?
Solution: At x = 0, lim x→0- f(x) = 0 and lim x→0+ f(x) = 1, hence it is discontinuous at x = 0.
Steps: 0

Related Questions

I
If the ratio of the ages of A and B is 3:4 and the sum of their ages is 28 years
Question: If the ratio of the ages of A and B is 3:4 and the sum of their ages is 28 years, what is ..
F
Find the local maxima of f(x) = -x^2 + 6x - 8. (2022)
Question: Find the local maxima of f(x) = -x^2 + 6x - 8. (2022)Options: (3, 1)(2, 2)(4, 0)(1, 5)Corr..
I
If f(x) = x^4 - 4x^3, find f'(2). (2023)
Question: If f(x) = x^4 - 4x^3, find f\'(2). (2023)Options: 081632Correct Answer: 16Exam Year: 2023S..
E
Evaluate the limit lim (x -> 0) (sin(5x)/x) and determine its continuity.
Question: Evaluate the limit lim (x -> 0) (sin(5x)/x) and determine its continuity.Options: 5, Conti..
F
For the function f(x) = sin(x) + cos(x), what is f'(π/4)? (2023)
Question: For the function f(x) = sin(x) + cos(x), what is f\'(π/4)? (2023)Options: 0√21√2/2Correct ..
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely