Question: Please be very detailed in your work and explaining. If there's any WLOG please explain it to me. Thank you. Question 8. (i). Prove that

Please be very detailed in your work and explaining. If there's any WLOG please explain it to me. Thank you.

Question 8. (i). Prove that if f is continuous on (a, b] and on [b, c), then f is continuous on (a, b). (ii). Prove that if f is uniformly continuous on (a, b] and on [b, c), then f is uniformly continuous on (a, b)

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