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How to evaluate A Taylor series at a specific value
05-12-2018, 02:36 PM (This post was last modified: 05-12-2018 02:53 PM by Joe Horn.)
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RE: How to evaluate A Taylor series at a specific value
EDIT: Yikes, while I was writing the following reply, Bernard beat me to it with his simpler method above. I leave the following here for historical purposes. Wink

There might be a simpler way, but this way only takes two steps and it does work.

(1) In CAS, execute taylor(function)
(2a) select and copy the result to the command line, then backspace the entire "order_size" term
(2b) press the template key (C) and tap the third item (the "where" function)
(2c) type x=whatever value you want, and press Enter
(3) optional: compare with the exact value

Example for sin(x) where x=0.5:

[Image: taylor.png]

Note: The default order for the taylor() function is 5. If a different order is desired, just specify it using taylor's syntax, e.g. taylor(sin(x),x,7)) for order 7.

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RE: How to evaluate A Taylor series at a specific value - Joe Horn - 05-12-2018 02:36 PM



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