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Chapter 14: Q. 14 (page 883)

In Problems 7– 42, find each limit algebraically
$\lim_{x \to - 3} (2 x^{3})$

Short Answer

Expert verified

The value of the limit $\lim_{x \to - 3} (2 x^{3})$ is $- 54 .$

Step by step solution

01

Step 1. Given Information

The given limit and function is $\lim_{x \to - 3} (2 x^{3})$

We need to find the value of the limit.

02

Step 2. Value of the limit

We know,

$\lim_{x \to c} (a x^{n}) = a c^{n}$

Therefore,

$\lim_{x \to - 3} (2 x^{3}) = 2 \cdot (- 3)^{3} = 2 \times - 27 = - 54$

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Most popular questions from this chapter

Graph each function. Use the graph to find the indicated limit, if it exists.

$\lim_{x \to 2} f (x), f (x) = 1 - x^{2}$

In Problems 7– 42, find each limit algebraically

$\lim_{x \to 2} (3 x + 2)$

In Problems 13–32, use the accompanying graph of y = f(x).

Find $\lim_{x \to - 4^{+}} f (x) .$

In Problems 13–32, use the accompanying graph of $y = f (x)$ .

Find $f (2) a n d f (6) .$

Use the graph shown to determine if the limit exists. If it does, find its value.

See all solutions

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