Multivariable Limits examples and sq. thm

  • Context: Undergrad 
  • Thread starter Thread starter texas
  • Start date Start date
  • Tags Tags
    Limits Multivariable
Click For Summary
SUMMARY

This discussion focuses on preparing for a Calculus 3 exam, specifically regarding multivariable limits involving trigonometric functions such as sine, cosine, and tangent. The user seeks additional practice problems and resources, as their textbook lacks sufficient examples. The Squeeze Theorem is highlighted as a method for evaluating limits when two bounding functions converge to the same limit at a point of interest. The discussion emphasizes the need for effective study resources and understanding of the Squeeze Theorem for exam success.

PREREQUISITES
  • Understanding of multivariable calculus concepts
  • Familiarity with trigonometric functions (sin, cos, tan)
  • Knowledge of the Squeeze Theorem
  • Basic problem-solving skills in calculus
NEXT STEPS
  • Research online resources for multivariable limit practice problems
  • Study the application of the Squeeze Theorem in various limit scenarios
  • Explore calculus forums for additional examples and solutions
  • Review trigonometric limit properties and their applications in calculus
USEFUL FOR

Students preparing for Calculus 3 exams, educators seeking additional teaching resources, and anyone looking to enhance their understanding of multivariable limits and the Squeeze Theorem.

texas
Messages
1
Reaction score
0
So I'm trying to study for my calc 3 exam, but I have noticed that my book doesn't have many limit questions that use sin/cos/tan, but I know those will likely be on the test. I have tried to google but I can't find many examples that have solutions. Are there any free sites that have problems to help me practice?

Also, I can't seem to figure out when to use the squeeze theorem. In general, when do you look for it?
 
Physics news on Phys.org
texas said:
So I'm trying to study for my calc 3 exam, but I have noticed that my book doesn't have many limit questions that use sin/cos/tan, but I know those will likely be on the test. I have tried to google but I can't find many examples that have solutions. Are there any free sites that have problems to help me practice?
Well, I can think of one REALLY good one that's open in your browser right now. :biggrin:

I periodically stalk the forums here looking for something fun to occupy my time.

texas said:
Also, I can't seem to figure out when to use the squeeze theorem. In general, when do you look for it?
When you recognize a function ##h## that is always greater than or equal to ##f## on an interval ##I## and a function ##g## that is always less than or equal to ##f## on the same interval, you might think about using it. The key is to get a ##g## and ##h## that have limits equal to each other at the point you want to take the limit of ##f## at in ##I##.
 

Similar threads

  • · Replies 21 ·
Replies
21
Views
6K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 5 ·
Replies
5
Views
3K