?For the function t whose graph is given, state the following.(a) \(\lim _{x \rightarrow

Chapter 2, Problem 4

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QUESTION:

For the function g whose graph is given, state the following.

(a) \(\lim _{x \rightarrow \infty} g(x)\)

(b) \(\lim _{x \rightarrow-\infty} g(x)\)

(c) \(\lim _{x \rightarrow 0} g(x)\)

(d) \(\lim _{x \rightarrow 2^{-}} g(x)\)

(e) \(\lim _{x \rightarrow 2^{+}} g(x)\)

(f) The equations of the asymptotes

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QUESTION:

For the function g whose graph is given, state the following.

(a) \(\lim _{x \rightarrow \infty} g(x)\)

(b) \(\lim _{x \rightarrow-\infty} g(x)\)

(c) \(\lim _{x \rightarrow 0} g(x)\)

(d) \(\lim _{x \rightarrow 2^{-}} g(x)\)

(e) \(\lim _{x \rightarrow 2^{+}} g(x)\)

(f) The equations of the asymptotes

ANSWER:

Step 1 of 6

a). Observe the graph. Notice that, as you go along the -axis, the oscillations decrease in amplitude and frequency, becoming a straight line. The straight line it is approaching is \(y=2\)

\(\lim _{x \rightarrow \infty} g(x)=2\)

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