Abs Value Limit: Simplifying -b-2

In summary, the "abs value limit" refers to the limit of a function or expression as the input approaches a certain value. Simplifying -b-2 in the abs value limit helps to make the expression easier to evaluate and understand, and can identify any potential discontinuities or asymptotes. To simplify -b-2 in the abs value limit, you can use properties of absolute value. The steps for finding the limit of -b-2 as b approaches infinity involve rewriting the expression, removing absolute value bars, and plugging in infinity. Understanding the abs value limit is important because it helps identify discontinuities and asymptotes, and allows for the evaluation of a function's behavior as the input approaches a certain value.
  • #1
EvilBunny
39
0

Homework Statement


| b + 2 |
----------
b + 2

Lim b ---> - 2 - ( from the left )




The Attempt at a Solution



Am I right if I say the absolute value can be simplified into

-b - 2 because the way we are appraching 2 would give me a negative number so I would have to make it like this ?
 
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  • #2
Ohh the answer was so simle nevermind .
 

What is the meaning of "abs value limit"?

The "abs value limit" refers to the limit of a function or expression as the input approaches a certain value. It is also known as the absolute value limit or the limit at infinity.

What is the purpose of simplifying -b-2 in the abs value limit?

Simplifying -b-2 in the abs value limit helps to make the expression easier to evaluate and understand. It also allows for easier identification of any potential discontinuities or asymptotes in the function.

How do you simplify -b-2 in the abs value limit?

To simplify -b-2 in the abs value limit, you can use the properties of absolute value. This means that you can rewrite the expression as |-(b+2)|, which is equal to |b+2| since the absolute value of a negative number is the positive equivalent. You can then simplify further by removing the absolute value bars and changing the sign of the expression inside, resulting in -(b+2).

What are the steps for finding the limit of -b-2 as b approaches infinity?

The steps for finding the limit of -b-2 as b approaches infinity are:

  1. Rewrite the expression as |-(b+2)|
  2. Remove the absolute value bars and change the sign of the expression inside to get -(b+2)
  3. Plug in infinity for b to get -(infinity+2)
  4. Simplify to get -infinity

Why is it important to understand the abs value limit when working with functions?

Understanding the abs value limit is important because it helps to identify any potential discontinuities or asymptotes in a function. It also allows for the evaluation of the behavior of a function as the input approaches a certain value, which is crucial in many applications of mathematics and science.

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