Do I deserve full credit for this very simple proof?

[Helicobacter]

Please take a look and let me know if it is good.

My professor took off 75% from my last proof and just simply put a line through it. So, now I bought Intro to Analysis by Maxwell to practice proofs. The first proof in the book is what I've tried in the attachment. I don't want to memorize Maxwell's proof but do my own, but at the same time I want to know if I'm doing things the right way.

 

[g_edgar]

Only the professor can tell you what was desired for this. Not us.

 

[Helicobacter]

This was not the proof where 75% were removed.

This is a practice proof from the text. I want to know whether my way of doing it is satisfactory as well.

 

[Werg22]

Yes, it's correct.

 

[blue_raver22]

I understand the importance of receiving credit for your work and the frustration that can come with not receiving the recognition you believe you deserve. In this situation, it is important to remember that the purpose of a proof is not just to arrive at the correct answer, but also to demonstrate your understanding and application of the principles and techniques involved. It is possible that your professor may have seen some errors or gaps in your proof that warranted a significant deduction.

In terms of using Maxwell's proof as a guide, it is important to use it as a learning tool rather than trying to replicate it exactly. As you mentioned, the goal is to develop your own understanding and approach to proofs. However, it can be helpful to compare your proof to Maxwell's and see if there are any major differences or if there are any areas where your proof may be weaker. This can help you identify areas for improvement and further solidify your understanding.

Ultimately, the most important thing is to continue practicing and seeking feedback from your professor or peers. With dedication and perseverance, you can improve your proof-writing skills and receive the credit you deserve.