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Chapter 1: Q. 87 (page 136)

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Step by step solution

Step 1. Given information.

given,

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Most popular questions from this chapter

Write delta-epsilon proofs for each of the limit statements $\lim_{x 鈫� c} f (x) = L$ in Exercises $47 - 60$ .

$\lim_{x 鈫� 1} (2 x^{2} - 4 x + 3) = 1$ .

Sketch a labeled graph of a function that satisfies the hypothesis of the Extreme Value Theorem, and illustrate on your graph that the conclusion of the Extreme Value Theorem follows.

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

$\lim_{x 鈫� - 1} 6 .$

Calculate each of the limits:

$\lim_{x 鈫� 1} x \sin^{- 1} \frac{x}{2}$ .

Write a delta鈥揺psilon proof that proves that $f$ is continuous on its domain. In each case, you will need to assume that 未 is less than or equal to $1$ .

$f (x) = x^{鈭� 1 / 2}$

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