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Kock Snowflakes and some intriguing sequences and series

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Presentation on theme: "Kock Snowflakes and some intriguing sequences and series"— Presentation transcript:

1 Kock Snowflakes and some intriguing sequences and series

2 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?

3 What is the perimeter of a Koch Snowflake?
Start with this… ?

4 an Perimeter is a divergent sequence

5 What is the area of a Koch Snowflake?
Start with this…

6 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

7 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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