2. Consider the following graph of f(x). Use it to find the limits, or state that they do not exist. (1 pt each) Find the following limits i. lim_{x o -2} f(x) ii. lim_{x o -1} f(x) iii. lim_{x o 3} f(x) iv. lim_{x o 0^-} f(x) v. lim_{x o 0^+} f(x) vi. lim_{x o 0} f(x)
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Step 1: The limit as \(x\) approaches -2 of \(f(x)\) is 2. Show more…
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Use the graph of $f$ in the figure to find the following values or state that they do not exist. If a limit does not exist, explain why. a. $f(1)$ b. $\lim _{x \rightarrow 1^{-}} f(x) \quad$ c. $\lim _{x \rightarrow 1^{+}} f(x)$ d. $\lim _{x \rightarrow 1} f(x)$ e. $f(3)$ f. $\lim _{x \rightarrow 3^{-}} f(x)$ g. $\lim _{n \rightarrow \infty} f(x)$ h. $\lim _{x \rightarrow 3} f(x)$ i. $f(2)$ j. $\lim _{x \rightarrow 2} f(x)$ k. $\lim _{x \rightarrow 2^{+}} f(x)$ l. $\lim _{x \rightarrow 2} f(x)$
Limits
Definitions of Limits
Graph each function and then find the specified limits. When necessary, state that the limit does not exist. $$f(x)=x^{2} ; \text { find } \lim f(x) \text { and } \lim _{x \rightarrow 0} f(x).$$
Differentiation
Limits: A Numerical and Graphical Approach
Graph each function and then find the specified limits. When necessary, state that the limit does not exist. $$f(x)=\frac{1}{x}-2 ; \text { find } \lim _{x \rightarrow \infty} f(x) \text { and } \lim _{x \rightarrow 0} f(x).$$
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