Consider $\lim _ { x \rightarrow - x } \cos ( x - \pi ) = 1$

Multiple Choice

Consider $\lim _ { x \rightarrow - x } \cos ( x - \pi ) = 1$ In order for $| \cos ( x - \pi ) - 1 | < 0.01$ whenever $0 < | x - ( - \pi ) | < \delta$ which of the following is the largest ? of those listed for which this is true?

A) 0.001
B) 0.005
C) 0.01
D) 0.05
E) 0.10