Master Curve Sketching 1: Tips and Tricks for Perfect Graphs

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The discussion focuses on mastering curve sketching techniques, specifically addressing challenges in solving parts of a problem related to the function coth x. The user successfully completed part a) but is struggling with part b), particularly in analyzing the behavior of coth x as T approaches 0 and infinity. They attempted to use the Maclaurin series to understand the function's limits in these scenarios. The inquiry highlights the need for clarity on the results obtained from the series expansion. Overall, the conversation centers on effective methods for graphing and understanding the behavior of mathematical functions.
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The attempt at a solution:

For part a) I got the following:
ejYEgpgr.jpg


I'm stuck on part b). I've tried to take the maclaurin series of coth x to see what the function does when T→0 and T→∞
 
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subzero0137 said:
I've tried to take the maclaurin series of coth x to see what the function does when T→0 and T→∞
What was the result of this?
 

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