Cartoon Calculus: Ch 5 (Limits)

Quick links to Front matter, Back matter, and:
Part One: Ch 1: Introduction, Ch 2: Speed, Ch 3: Area, Ch 4: Fundamental theorem, Ch 5: Limits
Part Two: Ch 6: Derivatives, Ch 7: Toolkit, Ch 8: Extreme, Ch 9: Optimization, Ch 10: Economics
Part Three: Ch 11: Hard way, Ch 12: Easy way, Ch 13: Revisited, Ch 14: Physics, Ch 15: Conclusion

Page 55: Are we there yet?

Pages 56-57: The ancient Greek philosopher Zeno… // In the 2500 years since Zeno…

Pages 58-59: The concept of limits… // Limits are not about where you’ve been…

WM: Page 58: don’t you need the bumper sticker to say ” lim as n —> heart of n” to get the heart you want for the bumper sticker?

Pages 60-61: Thanks to limits… // …and find closure.

Pages 62-63: For an easy example… // Mathematically speaking…

WM: Page 62: does the reader need to be cued that you defined what a sequence is somewhere (I always tell students it’s just a long list of numbers that never ends)?

WM: Page 63 – very nice.

Pages 64-65: On the surface… // One big idea is that limits follow simple rules.

Pages 66-67: Another big idea… // …in a mathematically rigorous way.

Page 68: In Chapter 15…

Quick links to Front matter, Back matter, and:
Part One: Ch 1: Introduction, Ch 2: Speed, Ch 3: Area, Ch 4: Fundamental theorem, Ch 5: Limits
Part Two: Ch 6: Derivatives, Ch 7: Toolkit, Ch 8: Extreme, Ch 9: Optimization, Ch 10: Economics
Part Three: Ch 11: Hard way, Ch 12: Easy way, Ch 13: Revisited, Ch 14: Physics, Ch 15: Conclusion

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