Estimate the Range of Values of X for Which the Approximation

Multiple Choice

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

A) [0.68, 1.41]
B) [0.61, 1.54]
C) [0.995, 1.005]
D) [1.51, 2.59]
E) [0.95, 1.05]
F) [0.80, 1.23]
G) [0.980, 1.023]
H) [0.89, 1.14]