Consider $\lim _ { x \rightarrow - 5 } \left( \frac { x } { 5 } - 3 \right) = - 4$

Multiple Choice

Consider $\lim _ { x \rightarrow - 5 } \left( \frac { x } { 5 } - 3 \right) = - 4$ In order for $\left| \left( \frac { x } { 5 } - 3 \right) - ( - 4 ) \right| < 0.01$ whenever $0 < | x - ( - 5 ) | < \delta$ which of the following is true for the largest ?

A) 0.001
B) 0.005
C) 0.01
D) 0.05
E) Impossible to find