Estimate the Range of Values of X for Which the Approximation

Multiple Choice

Estimate the range of values of x for which the approximation $\ln x = \ln 2 + \frac { 1 } { 2 } ( x - 2 ) - \frac { 1 } { 8 } ( x - 2 ) ^ { 2 }$ is accurate to within 0.01.

A) [1.08, 3.20]
B) [1.80, 2.20]
C) [0.89, 3.56]
D) [1.43, 2.66]
E) [0.45, 1.78]
F) [0.71, 1.33]
G) [1.90, 2.10]
H) [1.99, 2.01]