MHB Limit of Newton's Law of Cooling....2

nycmathdad
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Given u(t) = (u_0 - T)e^(kt) + T, find the limit of u(t) as t tends to 0 from the right side.

The answer is u_0. How is the answer found? Seeking a hint or two.
Can this Law of Cooling be graphed? If so, what does the graph look like?
 
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nycmathdad said:
Given u(t) = (u_0 - T)e^(kt) + T, find the limit of u(t) as t tends to 0 from the right side.

The answer is u_0. How is the answer found? Seeking a hint or two.
Can this Law of Cooling be graphed? If so, what does the graph look like?
Problem 1.5.75.b.
Some details left out.
Suggest you post a screenshot of the entire problem instead of making helpers guess the condition for k.
 
Look at 75 parts (a) and (b). You are not helping by telling me to go back to the question. I want to learn how this is done.

Screenshot_20210402-184607_Drive.jpg
 
Beer soaked suggestion follows.
nycmathdad said:
Look at 75 parts (a) and (b). You are not helping by telling me to go back to the question. I want to learn how this is done.

View attachment 11043
Do us all a favor and post a screenshot of your problem so we don't have to task our imagination with sloppy typing.
 

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