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Chapter 1: Q. 47 (page 88)

Use tables of values to make educated guesses for each of the limits in Exercises 39–52.
$\lim_{x \to - \infty} \frac{3 x + 1}{1 - x}$

Short Answer

Expert verified

The value is $- 3 .$

Step by step solution

Step 1. Given information.

The given function is $\lim_{x \to - \infty} \frac{3 x + 1}{1 - x}$

Step 2. Value of the limit.

Consider the table,

The value approaches to $- 3 .$

Therefore,

$\lim_{x \to - \infty} \frac{3 x + 1}{1 - x} = - 3$ .

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Use the delta-epsilon definition of continuity to argue that f is or is not continuous at the indicated point $x = c$ .

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

$\lim_{x \to 3} (x^{2} - 6 x + 11) = 2$ .

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Use tables of values to make educated guesses for each of the limits in Exercises 39–52.limx→-∞3x+11-x

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Value of the limit.

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Most popular questions from this chapter

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Use tables of values to make educated guesses for each of the limits in Exercises 39–52.
$\lim_{x \to - \infty} \frac{3 x + 1}{1 - x}$