Question

Use Taylor's Theorem to obtain an upper bound for the error of the approximation. Then calculate the value of the error. (Round your answers to three significant figures.)

sinh(0.4) ≈ 1 − (0.4)^2 / 2! + (0.4)^2 / 4!
R4 ≤
R4 =
Specifically what does R4 equal.

Answer 1

R4 ≤ 0.00008

R4 = 0.00001

Explanation:

Given: sinh( 0.4 ) ≈
`1 - ((0.4)^2)/(2!) + ((0.4)^2)/(4!)`

using Taylor's Theorem

R4 ≤ 0.00008

R4 = 0.00001

attached is the detailed solution