Chapter 1: Q. 32 (page 135)

Calculate each of the limits in Exercises $29 - 70$ .
$\lim_{x \to 1.7} (3.1 x^{2} - 4 x + 0.8)$ .

Short Answer

Expert verified

The value of $\lim_{x \to 1.7} (3.1 x^{2} - 4 x + 0.8)$ is, $2.959$ .

Step by step solution

Step 1. Given information

$\lim_{x \to 1.7} (3.1 x^{2} - 4 x + 0.8)$ .

Step 2. The limit is calculated as below:

$\lim_{x \to 1.7} (3.1 x^{2} - 4 x + 0.8) = \lim_{x \to 1.7} (3.1 x^{2}) - \lim_{x \to 1.7} (4 x) + \lim_{x \to 1.7} (0.8)$ [Sum rule]

$= 3.1 \lim_{x \to 1.7} (x^{2}) - 4 \lim_{x \to 1.7} (x) + 0.8$ [Constant multiple rule]

$= 3.1 {(1.7)}^{2} - 4 (1.7) + 0.8 = 3.1 (2.89) - 6.8 + 0.8 = 8.959 - 6.0 = 2.959$

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Calculate each of the limits in Exercises $29 - 70$ .
$\lim_{x \to 1.7} (3.1 x^{2} - 4 x + 0.8)$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. The limit is calculated as below:

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Calculate each of the limits in Exercises 29-70.limx→1.73.1x2-4x+0.8.

Short Answer

Step by step solution

Step 1. Given information

Step 2. The limit is calculated as below:

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Calculate each of the limits in Exercises $29 - 70$ .
$\lim_{x \to 1.7} (3.1 x^{2} - 4 x + 0.8)$ .