Consider $\lim _ { x \rightarrow 4 } \left( \frac { | x | } { 2 } - 3 \right) = - 1$

Multiple Choice

Consider $\lim _ { x \rightarrow 4 } \left( \frac { | x | } { 2 } - 3 \right) = - 1$ In order for $\left| \left( \frac { | x | } { 2 } - 3 \right) - ( - 1 ) \right| < 0.01$ whenever $0 < | x - 4 | <\delta$ , which of the following is true for the largest ?

A) 0.001
B) 0.002
C) 0.01
D) 0.02
E) Impossible to find