THIS HAS BEEN GRADED AND CANNOT BE REPEATED.. please explain how this was arrived to the answer ### Understanding the "INT" or "Floor" FunctionThe "INT" function (also known as the "Floor" function) returns the largest integer value less than or equal to the input value. This function effectively rounds down the given number to the nearest integer below it. #### Examples:- INT(-9.795) = -10- INT(7.53728) = 7### ProblemEvaluate the following limit, using the INT function:\[ \lim_{{x \to 7^+}} \text{INT}(6 - x) \]#### Answer Options:1. **6** (marked incorrect)2. **key symbol** (indicating this is the correct answer)3. **-2**Note that "DNE" stands for "Does Not Exist," to be used if the limit does not exist.

INT function or floor function of x is the greatest integer less than or equal to x.

"INT" function (alternative name is "Floor" function) returns integer value closest to the Input from below. For example, INT(-9.795) = -10, INT(7.53728) = 7. Enter a number, or DNE for "Does Not Exist. lim INT(6 — x) = 6 x →7+ X -2

"INT" function (alternative name is "Floor" function) returns integer value closest to the Input from below. For example, INT(-9.795) = -10, INT(7.53728) = 7. Enter a number, or DNE for "Does Not Exist. lim INT(6 — x) = 6 x →7+ X -2

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

THIS HAS BEEN GRADED AND CANNOT BE REPEATED..

please explain how this was arrived to the answer

### Understanding the "INT" or "Floor" Function

The "INT" function (also known as the "Floor" function) returns the largest integer value less than or equal to the input value. This function effectively rounds down the given number to the nearest integer below it.

#### Examples:
- INT(-9.795) = -10
- INT(7.53728) = 7

### Problem

Evaluate the following limit, using the INT function:
\[ \lim_{{x \to 7^+}} \text{INT}(6 - x) \]

#### Answer Options:
1. **6** (marked incorrect)
2. **key symbol** (indicating this is the correct answer)
3. **-2**

Note that "DNE" stands for "Does Not Exist," to be used if the limit does not exist.

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