Question

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

Short answer

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$\underset{x\to 2}{Lim}f\left(x\right),f\left(x\right)=\frac{1}{4}$