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(Solved): Please help me check the mistake in the following proof, thanks! Prove: if f is continuous at x=1 an ...



Please help me check the mistake in the following proof, thanks!student submitted image, transcription available below

Prove: if is continuous at and , then Proof. Fix . By continuity of at 1 , there exists , such that , which implies . So choose , then implies . So , which implies if . Therefore, if is continuous at and , then .


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1. The statement you want to prove is: If f is continuous...
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