Two linear approximations are used to estimate : • is centered at

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Two linear approximations are used to estimate

\ln(1.25)

: •

L_{1}

is centered at

x=1

. •

L_{2}

is centered at

x=1.2

. Without using series, compute the percent error for each approximation (relative error × 100%) and state which approximation is more accurate.