Find the value of x for which the function is discontinuous

  • Thread starter Thread starter Fatima Hasan
  • Start date Start date
  • Tags Tags
    Function Value
Click For Summary
SUMMARY

The discussion centers on identifying the value of x for which a given function is discontinuous. Participants confirm the correctness of the answer provided, indicating that the solution aligns with the expected mathematical principles. The conversation emphasizes the importance of understanding function behavior in calculus, particularly in relation to discontinuities.

PREREQUISITES
  • Understanding of calculus concepts, specifically limits and continuity.
  • Familiarity with function analysis and discontinuities.
  • Basic knowledge of algebraic manipulation.
  • Experience with relevant equations and their applications in problem-solving.
NEXT STEPS
  • Study the definition and types of discontinuities in functions.
  • Learn how to apply the epsilon-delta definition of limits.
  • Explore graphical representations of discontinuous functions.
  • Practice solving problems involving limits and continuity using calculus.
USEFUL FOR

Students studying calculus, mathematics educators, and anyone looking to deepen their understanding of function behavior and discontinuities.

Fatima Hasan
Messages
315
Reaction score
14
Homework Statement
Attached below.
Relevant Equations
-
attempt.gif


Could someone confirm my answer please?
 

Attachments

  • q6math.JPG
    q6math.JPG
    7.8 KB · Views: 166
Physics news on Phys.org
Looks fine.
 
  • Like
Likes Fatima Hasan
Fatima Hasan said:
Homework Statement:: Attached below.
Relevant Equations:: -

View attachment 274358

Could someone confirm my answer please?
Confirmed.
 
  • Like
Likes Fatima Hasan
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
958
  • · Replies 11 ·
Replies
11
Views
2K
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K