1726 Use Definition 1.4.1 to prove that the limit is correct. limx2f(x) = 5, where f(x)

Chapter 1, Problem 24

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QUESTION:

Use Definition 1.4.1 to prove that the limit is correct.


                \(\lim _{x \rightarrow 2} f(x)=5\), where \(f(x)=\{9-2 x, x \neq 249, x=2\)

Equation Transcription:

Text Transcription:

lim_x rightarrow 2 f(x) = 5

f(x)={9-2x, x≠2 49, x=2

Questions & Answers

QUESTION:

Use Definition 1.4.1 to prove that the limit is correct.


                \(\lim _{x \rightarrow 2} f(x)=5\), where \(f(x)=\{9-2 x, x \neq 249, x=2\)

Equation Transcription:

Text Transcription:

lim_x rightarrow 2 f(x) = 5

f(x)={9-2x, x≠2 49, x=2

ANSWER:

Step 1 of 3

Since, we want to show that for every , there exists  such that , whenever , we have . Thus, the function's evaluation would be .

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