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Kock Snowflakes and some intriguing sequences and series

Kock Snowflakes and some intriguing sequences and series. 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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Kock Snowflakes and some intriguing sequences and series

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  1. Kock Snowflakesand 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 11.1 – 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 684-686: 5, 12, 33

  7. L’Hopital’s Rules… • Refer to section 4.4 in text • Applies to indeterminateexpressions” • Rule:…if f(x)/g(x) is indeterminate when x = a then:

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