## Question

###### The function $f$ in the figure satisfies $\lim _{x \rightarrow 2} f(x)=4 .$ Determine the largest value of $\delta>0$ satisfying each statement. a. If $0<|x-2|<\delta$ then $|f(x)-4|<1$ b. If $0<|x-2|<\delta$ then $|f(x)-4|<1 / 2$

The function $f$ in the figure satisfies $\lim _{x \rightarrow 2} f(x)=4 .$ Determine the largest value of $\delta>0$ satisfying each statement. a. If $0<|x-2|<\delta$ then $|f(x)-4|<1$ b. If $0<|x-2|<\delta$ then $|f(x)-4|<1 / 2$

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