Short Answer

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

The limit of the function (at x= 0) is = 0

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step1. Given information

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

Step2. Calculations of the value of the function at limit points

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 0,

but $a t x = 0, y = 1$

Thus the limit of the given function is evaluated by 0

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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.
$\underset{x \to 0}{l i m} f (x), f (x) = \{\begin{matrix} x \\ 1 \\ 3 x \end{matrix} \begin{matrix} i f, x < 0 \\ i f, x = 0 \\ i f, x > 0 \end{matrix}$

Step by Step Solution

Step1. Given information

Step2. Calculations of the value of the function at limit points

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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.limx→0 f(x), f(x)=x13xif, x<0if, x=0if, x>0

Step by Step Solution

Step1. Given information

Step2. Calculations of the value of the function at limit points

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