. a. Approximate y = e# using the Taylor polynomial P3 (æ) of y = e at 0. а.

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Taylor polynomial help. Thank you

14. a. Approximate y = e using the Taylor
polynomial P3 (x) of y = e® at 0.
%3|
c. Use P3 (x) to approximate e'/2 .
d. What is the Lagrange error bound in using
this approximation?
e. If P3 (x) is used to approximate y
el/2,
for what values of x is the error less than or
equal to 0.0001?
Transcribed Image Text:14. a. Approximate y = e using the Taylor polynomial P3 (x) of y = e® at 0. %3| c. Use P3 (x) to approximate e'/2 . d. What is the Lagrange error bound in using this approximation? e. If P3 (x) is used to approximate y el/2, for what values of x is the error less than or equal to 0.0001?
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