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3. [3 marks] Mathew walks in to a room that has been preheated to 230C, carrying a cup of coffee that has been heated to

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3. [3 marks] Mathew walks in to a room that has been preheated to 230C, carrying a cup of coffee that has been heated to 880C. Newton's law of cooling states that the temperature of the coffee at time t will be T(t) = 65e -15 + 23, where t denotes the amount of time the cup of coffee has been sitting in the room. Find lim T(t). t-+0o

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