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Published byErnest Lebeau Modified over 6 years ago
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Kock Snowflakes and some intriguing sequences and series
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The Koch Snowflake and Infinite Sequences…
What is a Koch Snowflake? How “long” is a section of the Koch Snowflake between x = 0 and x = 1? Anything else odd about this? What “dimension” is it? Can you differentiate it?
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What is the perimeter of a Koch Snowflake?
Start with this… ?
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an Perimeter is a divergent sequence
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What is the area of a Koch Snowflake?
Start with this…
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Rules of the Game… Section 9.1 – defines sequence and basic terminology Use many of the ideas that you developed about limits in Math 200 Important Theorems: The Squeeze Theorem L’Hopital’s Rules Examples: pg : 5, 12, 21, 33, 57
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L’Hopital’s Rules… Refer to section 4.7 in text
Applies to indeterminate expressions” Rule:… if f(x)/g(x) is indeterminate when x = a then:
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