Answer: Suppose and Find

Chapter 2, Problem 56E

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QUESTION:

Suppose that \(\lim _{x \rightarrow 2} p(x)=4, \lim _{x \rightarrow 2} r(x)=0\) and \(\lim _{x \rightarrow 2} s(x)=-3\). Find

(a) \(\lim _{x \rightarrow 2}(p(x)+r(x)+s(x))\)

(b) \(\lim _{x \rightarrow 2}(p(x)+r(x)+s(x))\)

(c) \(\lim _{x \rightarrow 2}(-4 p(x)+5 r(x)) / s(x)\)

Equation Transcription:

Text Transcription:

lim_x right arrow 2p(x)=4, lim_x right arrow 2 r(x)=0

lim_x right arrow 2 s(x)=-3

lim_x right arrow 2(p(x)+r(x)+s(x))

lim_x right arrow 2 p(x) . r(x) . s(x)

lim_x right arrow 2 (-4p(x) + 5r(x))/s(x)

Questions & Answers

QUESTION:

Suppose that \(\lim _{x \rightarrow 2} p(x)=4, \lim _{x \rightarrow 2} r(x)=0\) and \(\lim _{x \rightarrow 2} s(x)=-3\). Find

(a) \(\lim _{x \rightarrow 2}(p(x)+r(x)+s(x))\)

(b) \(\lim _{x \rightarrow 2}(p(x)+r(x)+s(x))\)

(c) \(\lim _{x \rightarrow 2}(-4 p(x)+5 r(x)) / s(x)\)

Equation Transcription:

Text Transcription:

lim_x right arrow 2p(x)=4, lim_x right arrow 2 r(x)=0

lim_x right arrow 2 s(x)=-3

lim_x right arrow 2(p(x)+r(x)+s(x))

lim_x right arrow 2 p(x) . r(x) . s(x)

lim_x right arrow 2 (-4p(x) + 5r(x))/s(x)

ANSWER:

Solution

Step 1 of 4

In this problem, we need to find the given limit values.

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