Question

Can anyone help me please ????

Answer 1

Hey there! The topic for this problem is Limit of Function!

As for the question, we are given the quadratic function and we have to find the limit, the value that approaches to a.

$\large \boxed{lim_{x \longrightarrow a} f(x)}$

We call this, "The limit of f(x) when x approaches a."

Then you may ask, "How do we find the limit of function?". That is a very nice question! The answer to your problem is just substitute x-value in. Although this substitution method only applies when the approaching value doesn't make the denominator to 0. I believe that in the beginning of Limit topic, we learn how to find or evaluate the basic limit that only requires substitution.

So from the question, we receive:

$\large{lim_{x \longrightarrow 2} ( {x}^{2} - 3x - 1)}$

Next step is to substitute x = 2 in the function.

$\large{lim_{x \longrightarrow 2} ( {2}^{2} - 3(2) - 1)}$

Evaluate the value.

$\large{lim_{x \longrightarrow 2} ( 4 - 6 - 1)} \\ \large{lim_{x \longrightarrow 2} ( - 3)}$

Cancel the limit out and there you have it!

$\large \boxed{ - 3}$

Answer

• The limit of quadratic function when x approaches 2 is -3.

Now whenever you learn limit, you must know that limit is when we substitute the approaching value. That means x —> 2 is not x = 2 but x approaches 2.

Regarding the limit, any questions and doubts can be asked through comment and I will get back to you soon!

Thank you for using Brainly and I hope you have a fantastic day! Good luck on the assignment.