Consider $\lim _ { x\rightarrow 5} ( 5 | x | + 5 ) = 35$

Multiple Choice

Consider $\lim _ { x\rightarrow 5} ( 5 | x | + 5 ) = 35$ . In order for $| ( 5 | x | + 5 ) - 35 | < 0.01$ whenever $0 < | x - 6 | <\delta$ , which of the following is true for the largest ?

A) 0.001
B) 0.002
C) 0.01
D) 0.02
E) Impossible to find