Chapter 14: Q. 34 (page 876)

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.
$\underset{}{\underset{x \to 2}{l i m} f (x), f (x) = 1}$

Short Answer

Expert verified

The limit of the function x=2 : $\frac{1}{4}$

Step by step solution

Step1.Given information

The given function $y = \frac{1}{x^{2}}$

Step2. calculation of function at the limit point

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

$y = \frac{1}{x^{2}}$ is a linear function, we can see in the graph

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 graph when x is near 2, y tends to $\frac{1}{4}$

so, Therefore limit can be evaluated as $\underset{x \to 2}{L i m} f (x), f (x) = \frac{1}{4}$

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In Problem, graph each function. Use the graph to find the indicated limit, if it exists.
$\underset{}{\underset{x \to 2}{l i m} f (x), f (x) = 1}$

Short Answer

Step by step solution

Step1.Given information

Step2. calculation of function at the limit point

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In Problem, graph each function. Use the graph to find the indicated limit, if it exists.limx→2fx,fx=1

Short Answer

Step by step solution

Step1.Given information

Step2. calculation of function at the limit point

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Discrete Mathematics

Geometry

Applied Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.
$\underset{}{\underset{x \to 2}{l i m} f (x), f (x) = 1}$