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Chapter 1: Q 11. (page 107)

Write each of the inequalities in interval notation:

fx-L<鈭�

Short Answer

Expert verified

Answer isL-鈭�,L+鈭�

Step by step solution

01

Step 1. Given infromation

An inequality isf(x)-L<鈭�

02

Step 2. Explanation

fx-L<鈭�L-鈭�<f(x)<L+鈭�

Solution in interval notation isL-鈭�,L+鈭�

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Most popular questions from this chapter

Write delta-epsilon proofs for each of the limit statements limx鈫�cfx=Lin Exercises 47-60.

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For each limit in Exercises 33鈥�38, either use continuity to calculate the limit or explain why Theorem 1.16 does not apply.

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For each limit statement , use algebra to find 未 > 0 in terms of 蔚> 0 so that if 0 < |x 鈭� c| < 未, then | f(x) 鈭� L| < 蔚.

limx鈫�0(x3+1)=1
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