Consider $\lim _ { x \rightarrow - 7 } \left( \frac { 2 x } { 7 } - 5 \right) = - 7$

Multiple Choice

Consider $\lim _ { x \rightarrow - 7 } \left( \frac { 2 x } { 7 } - 5 \right) = - 7$ In order for $\left| \left( \frac { 2 x } { 7 } - 5 \right) - ( - 7 ) \right| < 0.01$ whenever $0 < | x - ( - 7 ) | < \delta$ which of the following is true for the largest ?

A) 0.001
B) 0.025
C) 0.03
D) 0.035
E) Impossible to find