Estimate the Range of Values of X for Which the Approximation

Short Answer

Estimate the range of values of x for which the approximation $\sqrt { x ^ { 2 } + 3 } = 2 + \frac { 1 } { 2 } ( x - 1 ) + \frac { 3 } { 16 } ( x - 1 ) ^ { 2 }$ is accurate to within 0.0002.