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

Question

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

Quizplus · Accepted Answer

The Answer of 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

Consider lim⁡x→−2(2x+6)=2\lim _ { x \rightarrow - 2 } ( 2 x + 6 ) = 2limx→−2​(2x+6)=2

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