Kock Snowflakes and some intriguing sequences and series

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Presentation transcript:

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?

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

an Perimeter is a divergent sequence

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

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 495-498: 5, 12, 21, 33, 57

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: