Question
The following graph of the function $f$ satisfies $$\lim _{x \rightarrow 2} f(x)=2 .$$ In the following exercises, determine a value of $\delta>0$ that satisfies each statement.If $0<|x-2|<\delta,$ then $|f(x)-2|<0.5$
Step 1
5$. This means that the value of $f(x)$ should be in the interval $(1.5, 2.5)$. Show more…
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The following graph of the function $f$ satisfies $$\lim _{x \rightarrow 2} f(x)=2 .$$ In the following exercises, determine a value of $\delta>0$ that satisfies each statement. If $0<|x-2|<\delta,$ then $|f(x)-2|<1$
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The following graph of the function $f$ satisfies $$\lim _{x \rightarrow 3} f(x)=-1 .$$ In the following exercises, determine a value of $\delta>0$ that satisfies each statement. If $0<|x-3|<\delta,$ then $|f(x)+1|<1$
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