(a) The hyperbolic sine function is defined as follows: e² – e- sinh = Why would we get a loss-of-significance error when evaluating sinh x for r close to 0? (b) Use 3rd degree Taylor polynomials with remainder to rewrite sinh x in a way where we would not get a loss-of-significance error. (c) Bound the error in the approximation on the interval –1 SIS1.
(a) The hyperbolic sine function is defined as follows: e² – e- sinh = Why would we get a loss-of-significance error when evaluating sinh x for r close to 0? (b) Use 3rd degree Taylor polynomials with remainder to rewrite sinh x in a way where we would not get a loss-of-significance error. (c) Bound the error in the approximation on the interval –1 SIS1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(a) The hyperbolic sine function is defined as follows:
e² – e-
sinh =
Why would we get a loss-of-significance error when evaluating sinh x for r close to 0?
(b) Use 3rd degree Taylor polynomials with remainder to rewrite sinh x in a way where we would not
get a loss-of-significance error.
(c) Bound the error in the approximation on the interval –1 SIS1.
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