Chapter 1: Q. 50 (page 88)

Use tables of values to make educated guesses for each of the limits in Exercises 39–52.
$\lim_{x \to \infty} (1 + \frac{1}{2 x + 1} + \frac{1}{x^{2}})$

Short Answer

Expert verified

The value of $\lim_{x \to \infty} (1 + \frac{1}{2 x + 1} + \frac{1}{x^{2}})$ is $1 .$

Step by step solution

Step 1. Given information.

The given function is $\lim_{x \to \infty} (1 + \frac{1}{2 x + 1} + \frac{1}{x^{2}})$ .

Step 2. Value of the limit.

Consider the table,

The value approaches to $1 a s x \to \infty,$

Therefore,

$\lim_{x \to \infty} (1 + \frac{1}{2 x + 1} + \frac{1}{x^{2}}) = 1$

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Use tables of values to make educated guesses for each of the limits in Exercises 39–52.
$\lim_{x \to \infty} (1 + \frac{1}{2 x + 1} + \frac{1}{x^{2}})$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Value of the limit.

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Use tables of values to make educated guesses for each of the limits in Exercises 39–52.limx→∞1+12x+1+1x2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Value of the limit.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Use tables of values to make educated guesses for each of the limits in Exercises 39–52.
$\lim_{x \to \infty} (1 + \frac{1}{2 x + 1} + \frac{1}{x^{2}})$