Consider $\lim _ { x \rightarrow - 3 } ( | x | + 1 ) = 4$

Multiple Choice

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

A) 0.001
B) 0.003
C) 0.01
D) 0.03
E) Impossible to find