Let . A student uses the tangent line at to approximate . What is the absolute error…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Let

h(x)=\ln x

. A student uses the tangent line at

x=1

to approximate

h(1.05)

. What is the absolute error of this approximation, rounded to four decimal places? (a)

0.0248

(b)

0.0012

(c)

0.0024

(d)

0.0013