Understanding the Limit Step in LaPlace Transforms

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The discussion focuses on clarifying the limit step in LaPlace transforms, particularly when evaluating the behavior of exponents as a variable approaches infinity. It emphasizes that for values of s greater than 4, both exponents become negative multiples of b, leading them to converge to zero as b approaches infinity. This understanding is crucial for accurately completing the limit step in the transformation process. The participants seek a clearer explanation of these concepts to ensure proper application in their work. Overall, grasping these limit behaviors is essential for mastering LaPlace transforms.
Jeff12341234
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I'm not sure about the answers to parts of the limit step of the work. Can you explain what the answer to that step should be?

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Jeff12341234 said:
I'm not sure about the answers to parts of the limit step of the work. Can you explain what the answer to that step should be?

uOmJnEv.jpg

Use that s>4. If that's so, then both of the exponents are a negative number times b, and so do go to 0 as b->infinity.
 
thanks
 
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Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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