Consider $\lim _ { x \rightarrow 0 } \frac { 1 } { e } = \frac { 1 } { e }$

Multiple Choice

Consider $\lim _ { x \rightarrow 0 } \frac { 1 } { e } = \frac { 1 } { e }$ In order for $\left| \frac { 1 } { e } - \frac { 1 } { e } \right| < 0.01$ whenever $0 < | x - 0 | < \delta$ which of the following is true for the largest ?

A) 0.001
B) 0.005
C) 0.01
D) 0.05
E) Impossible to find