Prove the limit statements in Exercises 37–50.

Chapter 2, Problem 48E

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QUESTION:

Prove the limit statements in Exercises 37–50.

\(\lim _{x \rightarrow 0} f(x)=0\) If \(f(x)=\left\{\begin{array}{ll}2 x, & x<0 \\x / 2, & x \geq 0\end{array}\right.\)

Equation Transcription:

 {  

Text Transcription:

lim_x right arrow 0 f(x) = 0 { 2x, x <0 x/2, x> or = 0

Questions & Answers

QUESTION:

Prove the limit statements in Exercises 37–50.

\(\lim _{x \rightarrow 0} f(x)=0\) If \(f(x)=\left\{\begin{array}{ll}2 x, & x<0 \\x / 2, & x \geq 0\end{array}\right.\)

Equation Transcription:

 {  

Text Transcription:

lim_x right arrow 0 f(x) = 0 { 2x, x <0 x/2, x> or = 0

ANSWER:

Solution :

Step 1 of 3 :

In this problem, we have to prove the limit statements.

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