Chapter 1.2, Problem 34E

(a)

To determine

To calculate: The value of $\delta$ and the limit “L” using $\underset{x\to 6}{\lim }6-\frac{x}{3}$ and $\epsilon =0.01$

if $\left|f(x)-L\right|<\epsilon ,\text{then}0<\left|x-c\right|<\delta$.

(b)

To determine

To calculate: The value of $\delta$ and the limit “L” $\underset{x\to 6}{\lim }6-\frac{x}{3}$ and $\epsilon =0.005$

if $\left|f(x)-L\right|<\epsilon ,\text{then}0<\left|x-c\right|<\delta$.