Short Answer

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.
$\underset{x \to 0}{l i m} f (x), f (x) = \{\begin{cases} x - 1 & i f x < 0 \\ 3 x - 1 & i f x \geq 0 \end{cases}$

The limit f function at x=0 is -1

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step1. Given information

The given function $\underset{x \to 0}{l i m} f (x), f (x) = \{\begin{cases} x - 1 & i f x < 0 \\ 3 x - 1 & i f x \geq 0 \end{cases}$

Step2. Calculations of the limit of the given function

To find the limit we have to draw the graph of its

We know that at the limit point as x-factor is near to limit points so that time y tends to a specific value, that specific value is the value of the function at the limit point

so according to the question, we can see in the pieces of both graphs when x is near 0, then y approach -1

Thus the limit of the given function is evaluated by -1

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Precalculus Enhanced with Graphing Utilities

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Short Answer

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.
$\underset{x \to 0}{l i m} f (x), f (x) = \{\begin{cases} x - 1 & i f x < 0 \\ 3 x - 1 & i f x \geq 0 \end{cases}$

Step by Step Solution

Step1. Given information

Step2. Calculations of the limit of the given function

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.limx→0 f(x), f(x)= x-1if x<03x-1if x≥0

Step by Step Solution

Step1. Given information

Step2. Calculations of the limit of the given function

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In Problem, graph each function. Use the graph to find the indicated limit, if it exists.
$\underset{x \to 0}{l i m} f (x), f (x) = \{\begin{cases} x - 1 & i f x < 0 \\ 3 x - 1 & i f x \geq 0 \end{cases}$