(a) Calculate e with an error of less than 10-6. (b) Estimate the error in the approximation sinh(x) = x + (x³/3!) when [x] < 0.5. (c) How close is the approximation sin(x) = x when |x| < 10-³? For which of these values of x is x < sin(x)?
(a) Calculate e with an error of less than 10-6. (b) Estimate the error in the approximation sinh(x) = x + (x³/3!) when [x] < 0.5. (c) How close is the approximation sin(x) = x when |x| < 10-³? For which of these values of x is x < sin(x)?
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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