Chapter 14: Q. 13 (page 876)

In Problems 7–16, use a table to find the indicated limit.
$13 . \lim_{x \to 0} (e^{x} + 1)$ .

Short Answer

Expert verified

$\lim_{x \to 0} (e^{x} + 1) = 2$ .

Step by step solution

Step 1. Given.

Given function is $f (x) = e^{x} + 1$ whose limit tends to 0 is need to be found.

Step 2. The table is as follows.

Compare the given limit to .

Choose values of x close to 0 , arbitrarily starting with -0.01. Then we select additional numbers that get closer to 0, but remain less than 0 .

Next choose values of x greater than 0 , staring with 0.01, which get closer to 0.

Finally evaluate f(x) at each choice to obtain the required Table.

Asx gets closer to 0 then f(x) gets closer to 2.

So, $\lim_{x \to 0} (e^{x} + 1) = 2$ .

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In Problems 7–16, use a table to find the indicated limit.
$13 . \lim_{x \to 0} (e^{x} + 1)$ .

Short Answer

Step by step solution

Step 1. Given.

Step 2. The table is as follows.

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In Problems 7–16, use a table to find the indicated limit.13.limx→0(ex+1).

Short Answer

Step by step solution

Step 1. Given.

Step 2. The table is as follows.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

In Problems 7–16, use a table to find the indicated limit.
$13 . \lim_{x \to 0} (e^{x} + 1)$ .