Having some trouble with the limit problems

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SUMMARY

This discussion focuses on evaluating limits in calculus, specifically addressing three limit problems involving piecewise functions and rational expressions. The first limit, as x approaches 2, evaluates a piecewise function where f(x) equals x-5 for x not equal to 2 and 0 for x equal to 2. The second limit involves a rational function where the denominator is x-12, and the third limit requires evaluating a function involving a square root. Participants are encouraged to reference their textbooks for examples and to attempt solving the problems before seeking help.

PREREQUISITES
  • Understanding of limits in calculus
  • Familiarity with piecewise functions
  • Knowledge of rational expressions
  • Basic skills in evaluating square roots
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  • Study the properties of limits in calculus
  • Practice evaluating piecewise functions
  • Learn techniques for simplifying rational expressions
  • Explore the application of L'Hôpital's Rule for indeterminate forms
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Students studying calculus, particularly those struggling with limit problems, as well as educators looking for examples to illustrate limit evaluation techniques.

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Limits..please help!

Ok so I just missed the past week of school due to other commitments..I have a math assignment due tomorrow and I wasn't in class when the material was reviewed. I'm having some trouble with the limit problems. I'm not quite sure what he is looking for. The question is..

Evaluate the following limits, explain your answer.
a)lim f(x) as x->2 where f(x) = x-5 if x=/=2...x=0 if x=2
b) lim f(x) as x->12 where f(x) = 1/x-12 **x-12 is the denom.
c) lim g(x) as x->9 where g(x) = 4x-36/sqrtx -3 **only the x is under the sqrt

-thanks
 
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What have you tried? The rules of this forum say that you have to make an attempt at solving a problem before anyone will help you. Look at the relevant section of your textbook. It should have some examples that will help you.
 

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