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Chapter 14: Q. 18 (page 876)

In Problems 17–22, use the graph shown to determine if the limit exists. If it does, find its value.
$18 . \lim_{x \to 4} f (x)$

Short Answer

Expert verified

The value is $\lim_{x \to 4} f (x) = - 3$ .

Step by step solution

01

Step 1. Given information.

A graph is given as follows where we need to find $\lim_{x \to 4} f (x)$

02

Step 2. Finding the limit.

To find the limit of the function asx approaches to 4 of f(x).

From the graph, the value of x approaches to 4, the value of the function gets closer to $- 3$ .

So, $\lim_{x \to 4} f (x) = - 3$ .

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Most popular questions from this chapter

In Problems 7– 42, find each limit algebraically

$\lim_{x \to 1} (- 3)$

In Problems 53-56, use the properties of limits and the facts that

$\lim_{x \to 0} \frac{\sin x}{x} = 1 \lim_{x \to 0} \frac{\cos x - 1}{x} = 0 \lim_{x \to 0} \sin x = 0 \lim_{x \to 0} \cos x = 1$

$\lim_{x \to 0} \frac{\tan x}{x}$

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

$\lim_{x \to - 3} f (x), f (x) = |2 x|$

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

Find $\lim_{x \to 2^{-}} f (x)$ .

Graph each function. Use the graph to find the indicated limit, if it exists. $\lim_{x \to 4} f (x), f (x) = 3 \sqrt{x}$

See all solutions

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