Can Function Limits Vary with Different Approaching Values?

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SUMMARY

The discussion centers on the topic of function limits in calculus, specifically addressing the need to prove or disprove statements related to limits approaching different values. Participants emphasize the importance of providing a solution attempt before seeking assistance. The conversation highlights the necessity of understanding the foundational concepts of limits to effectively engage in calculus problem-solving.

PREREQUISITES
  • Understanding of calculus concepts, specifically limits.
  • Familiarity with function behavior as values approach specific points.
  • Ability to construct and analyze contradictory examples in mathematical proofs.
  • Basic knowledge of mathematical notation and terminology used in calculus.
NEXT STEPS
  • Study the formal definition of limits in calculus.
  • Learn how to construct and analyze contradictory examples in limit proofs.
  • Explore the concept of one-sided limits and their implications.
  • Practice solving limit problems using various approaches, including graphical methods.
USEFUL FOR

This discussion is beneficial for first-year calculus students, mathematics educators, and anyone looking to deepen their understanding of function limits and their applications in calculus.

Abukadu
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Good morning from Israel :smile:

I'm a first year student learning about function limits.. I need to prove / disprove the following statements which I got a bit tangled up with..



" Prove or disprove with a contradictory example "

http://img386.imageshack.us/img386/7942/11qd2.jpg
http://g.imageshack.us/img386/11qd2.jpg/1/



http://img384.imageshack.us/img384/9752/22gq6.jpg
http://g.imageshack.us/img384/22gq6.jpg/1/

Thanks !
 
Last edited by a moderator:
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good afternoon from sweden.

Now this is calculus math, not precalc

Second, you need to show attempt to solution before you will get help.
 

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