Which of the following shows the correct notation for “The limit of x^2 - 1 as x approaches 3.

A. lim x^2-1
x->3

B. lim3
x->x^2-1

C. lim(x^2-3)
x->x^2-1

D. lim(x^2-1)
x->3

Thank you

D, of course

well if you mean (x^2-1) it is D

but if you really mean (lim x^2) -1
which is what you typed it is A

The correct notation for "The limit of x^2 - 1 as x approaches 3" is:

D. lim(x^2-1)
x->3

In this notation, the expression being evaluated is x^2 - 1, and the value x is approaching is 3.

The correct notation for expressing "The limit of x^2 - 1 as x approaches 3" is option D:

D. lim(x^2-1)
x->3

To understand why this is the correct notation, let's break it down:

1. "lim" represents the limit notation.
This signifies that we want to find the limit of a function as it approaches a certain value, in this case, x^2 - 1 as x approaches 3.

2. "(x^2-1)" denotes the function.
This tells us that the function we are interested in taking the limit of is x^2 - 1.

3. "x->3" indicates the value x is approaching.
This notation states that x is approaching the value 3. In other words, we are interested in the behavior of the function x^2 - 1 as x gets closer and closer to 3.

By combining these elements, we get the correct notation for expressing "The limit of x^2 - 1 as x approaches 3" as option D:

D. lim(x^2-1)
x->3