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.

 

John Golden

 
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approximation  calculus  example  series  taylor  weird 
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English (United States)
 
 
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