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Problem 30

Graphical Reasoning In Exercises 29 and 30 ,use t…

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Problem 29

Graphical Reasoning In Exercises 29 and 30 ,use the graph of the function $f$ to decide whether the value of the given quantity exists. If it does, find it. If not, explain why.

(a) $f(1)$
(b) $\lim _{x \rightarrow 1} f(x)$
(c ) $f(4)$
(d) $\lim _{x \rightarrow 4} f(x)$

Answer

a) $f(1)=2$
b) doesn't exist
c) doesn't exist
d) lim $x \rightarrow 4 f(x)=2$

Graphical Reasoning In Exercises 29 and 30 ,use the graph of the function $f$ to decide whether the value of the given quantity exists. If it does, find it. If not, explain why (a) $f(-2)$ (b) $\lim _{x \rightarrow-2} f(x)$ (c) $f(0)$ (d) $\lim _{x \rightarrow 0} f(x)$ (e) $f(2)$ (f) $\lim _{x \rightarrow 2} f(x)$ (g) $f(4)$ (h) $\lim _{x \rightarrow 4} f(x)$ Use the given graph of $f$ to state the value of each quantity, if it exists. If it does not exist, explain why. $$ \begin{array}{ll}{\text { (a) } \lim _{x \rightarrow 2^{-}} f(x)} & {\text { (b) } \lim _{x \rightarrow 2^{+}} f(x)} & {\text { (c) } \lim _{x \rightarrow 2} f(x)} \\ {\text { (d) } f(2)} & {\text { (e) } \lim _{x \rightarrow 4} f(x)} & {\text { (f) } f(4)}\end{array} $$
Chapter 1
Limits and Their Properties
Section 2
Finding Limits Graphically and Numerically
Calculus of a Single Variable