Tea Time Numerical Analysis · Problem 1.2.1

Preliminaries — Leon Brin

Mathematics — Numerical Analysis · taylor-polynomials

Problem

Find

T_3(x)

and

R_3(x)

for the function expanded about

x_0

. ((a))

f(x) = \sin(x)

;

x_0 = 0

. ((b))

f(x) = \sin(x)

;

x_0 = \pi/2

. ((c))

f(x) = \sin(x)

;

x_0 = \pi

. ((d))

f(x) = e^x

;

x_0 = 0

. ((e))

f(x) = e^x

;

x_0 = \ln 2

. ((f))

f(x) = x\sin(x)

;

x_0 = 0

. ((g))

f(x) = \cos^2(x)

;

x_0 = 0

.

Related theory

Taylor Polynomials And Local Approximation

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