Chapter 14: Q. 7 (page 876)

In Problems 7–16, use a table to find the indicated limit.
$7 . \lim_{x \to 2} (4 x^{3})$

Short Answer

Expert verified

$\lim_{x \to 2} (4 x^{3}) = 32$ .

Step by step solution

Step 1. Given information.

A function is given as $f (x) = 4 x^{3}$ whose limit needs to be found tending to 2.

Step 2. Explanation.

Compare the given function to .

Choose values of x close to 2, arbitrarily starting with 1.99 then we select additional numbers that get closer to 2, but remain less than 2.

Next choose values of x greater than 2, staring with 2.01, which get closer to 2.

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

As x gets closer to 2thenf(x)gets closer to 32.

So, $\lim_{x \to 2} (4 x^{3}) = 32$

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In Problems 7–16, use a table to find the indicated limit.
$7 . \lim_{x \to 2} (4 x^{3})$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Explanation.

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In Problems 7–16, use a table to find the indicated limit.7.limx→2(4x3)

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Explanation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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In Problems 7–16, use a table to find the indicated limit.
$7 . \lim_{x \to 2} (4 x^{3})$