I need your opinion to improve the proof. Please

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I need your opinion to improve the proof. Please

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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This is probably as simple as it can get. I don't see how you could improve it. Now try prove this using the Chebyshev polynomial of the first kind which you just proved. http://openstudy.com/study#/updates/55eda290e4b0819646d9d724
Well you could improve it by capturing a larger region and uploading it lol. Some parts of your prove are partially cut off.

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