Consider $\lim _ { x \rightarrow - 2 } ( 2 x + 6 ) = 2$

Multiple Choice

Consider $\lim _ { x \rightarrow - 2 } ( 2 x + 6 ) = 2$ In order for $| ( 2 x + 6 ) - 2 | < 0.01$ whenever $0 < | x + 2 | < \delta$ , which of the following is true for the largest ??

A) 0.001
B) 0.005
C) 0.003
D) 0.05
E) Impossible to find