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Chapter 14: Q. 19 (page 876)

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

Short Answer

Expert verified

The value is $\lim_{x \to 2} f (x) = 4$ .

Step by step solution

01

Step 1. Given Information

We are given the graph and we need to determine if the limit exists and find its value.

02

Step 2. Finding the limit

We need to find the limit of the function as $x$ approaches to $2$ of $f (x)$ .

The graph of the function reaches a removable discontinuity when $x$ approaches to $2$ .

From the graph, we can clearly see that $f$ approaches $4$ as $x$ approaches to $2$ .

$∴ \lim_{x \to 2} f (x) = 4$

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Most popular questions from this chapter

In Problems 7– 42, find each limit algebraically

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

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

$\underset{x \to 0}{l i m} f (x), f (x) = \{\begin{cases} x^{2} & i f x \geq 0 \\ 2 x & i f x < 0 \end{cases}$

Use a graphing utility to find the indicated limit rounded to two decimal places.

$\lim_{x \to - 1} \frac{x^{3} + 2 x^{2} + x}{x^{4} + x^{3} + 2 x + 2}$

In Problems 7– 42, find each limit algebraically

$\lim_{x \to - 2} (5 x)$

In Problems 7– 42, find each limit algebraically

$\lim_{x \to - 3} (2 x^{3})$

See all solutions

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