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Weird Taylor Approximation Example

This is a sketch of a function that is so flat at zero that the nth derivative at zero is 0 for any n. That makes the Maclaurin Series at zero = 0. It is also a good example of a function for which the Taylor Series does not converge to the function uniformly, only locally.
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Material Type
Worksheet
Tags
calculus  taylor  series  approximation  weird  example 
Target group (age)
19+
Language
English (US)
 
 
GeoGebra version
4.0
Views
901
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