Double-Check My Problem Solving | Correct Reasoning Verification

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In summary, the conversation discusses the correctness of solving a problem and the need to show that a function is continuous at a specific point. The individual initially makes a mistake in their reasoning but later corrects it. There is also a clarification of a statement made regarding the limits of certain functions.
  • #1
Albert Einstein1
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I am not entirely sure if I solved this problem correctly. Please let me know if my reasoning is flawed. Thank you and I appreciate your help greatly.
 

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  • #2
The function is continuous, just substitute x = 0...
 
  • #3
On second thought, I didn't read the question properly... Please disregard my previous post.
 
  • #4
The function IS continuous at x=0 but you need to show that $\lim_{x\to 0} f(x)= 1$ to show THAT so continuity cannot be used to do this exercise.

Albert, you state that $-1\le x^2- 2\le 1$. That is the same as $1\le x^2\le 3$. If x is close to 0 that is NOT true! You also have $\lim_{x\to 0} -x^2= 1$ and $\lim_{x\to 0} x^2= 1$. Those are certainly not true! Did you mean "= 0"?
 

FAQ: Double-Check My Problem Solving | Correct Reasoning Verification

How do I know if my problem solving is correct?

The best way to ensure that your problem solving is correct is to double-check your reasoning and calculations. This involves going back through your steps and making sure that each one is logical and accurate. You can also ask someone else to review your work and provide feedback.

Why is it important to double-check my problem solving?

Double-checking your problem solving is important because it helps to catch any mistakes or errors that may have been made. It also ensures that your reasoning is sound and your solution is accurate. This can save time and prevent potential problems down the line.

How can I verify my reasoning?

One way to verify your reasoning is to use logical thinking and critical analysis. Ask yourself if your reasoning makes sense and if there are any other possible explanations for the problem. You can also consult reliable sources or experts in the field to confirm your reasoning.

What should I do if I find a mistake in my problem solving?

If you find a mistake in your problem solving, it is important to correct it as soon as possible. This may involve going back through your steps and identifying where the mistake was made. You can also seek help from others, such as a teacher or tutor, to identify and correct the mistake.

How can I improve my problem solving skills?

To improve your problem solving skills, it is important to practice regularly and seek feedback from others. You can also try different problem solving strategies and techniques to find what works best for you. Additionally, staying organized and breaking down complex problems into smaller, manageable steps can also help improve your problem solving abilities.

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