One sided limits. Teaching myself.

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SUMMARY

The discussion centers on finding the one-sided limit of the function (2x² + x + 1)/(x + 2) as x approaches 2 from the left. The function is continuous at x=2, which means the limit equals the function's value at that point, specifically 3. The participant expresses confusion regarding one-sided limits, indicating a need for further clarification on this concept.

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  • Understanding of limits in calculus
  • Familiarity with continuous functions
  • Basic algebraic manipulation skills
  • Knowledge of one-sided limits
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  • Practice finding limits of continuous functions
  • Explore the differences between one-sided and two-sided limits
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Students learning calculus, particularly those struggling with the concept of one-sided limits and their applications in evaluating functions.

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Homework Statement


the problem, where you want to find the one sided limit is
Lim (2x^2+x+1)/(x+2)
X=>2-


Homework Equations





The Attempt at a Solution


Well i did attempt the problem. All i can think to put as the answer is finite.


I'm basically teaching myself calculus which as you can imagine is all sorts of fun. I know how to find limits, and how to do stuff like that but the one sided limits throw me off. Please help.
 
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Hi BBrttnybrat,

The function you gave is continuous at x=2, so the limit is just the value of the function at that point. Did you mean the limit as x -> -2 from the right, i.e. x -> (-2)- ?
 

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