step 1 So in this problem, it is written limit X approaches infinity GIF function. So this GIF function

Question

$\lim _{x \rightarrow \infty}\{x\}$

Name: Problem 76, Chapter 6: Mathematics for IIT JEE Main and Advanced Differential Calculus Algebra Trigonometry
Uploaded: 2021-08-12T09:04:01-08:00
Duration: 41 s
Channel: Kumar Vaibhav
Description: limx →∞{x}

   $\lim _{x \rightarrow \infty}\{x\}$

Mathematics for IIT JEE Main and Advanced Differential Calculus Algebra Trigonometry

Sanjiva Dayal IIT… 1st Edition

Chapter 6, Problem 76

Instant Answer

Solved by Expert Kumar Vaibhav

08/12/2021

Step 1

This is the fractional part function, also known as the sawtooth function. It represents the fractional part of a real number. Show more…

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$\lim _{x \rightarrow \infty}\{x\}$

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Key Concepts

Limit of a Function

This concept refers to the behavior of a function as its input approaches a particular value, including infinity. Limits are a fundamental part of calculus, offering insights into the behavior of functions near points or as the input becomes very large or very small, and are foundational for understanding continuity, derivatives, and integrals.

Fractional Part Function

This function extracts the non-integer part of a real number by subtracting the greatest integer less than or equal to the number from the number itself. It is a periodic function with a typical sawtooth pattern, and it is useful in exploring topics such as periodicity, discontinuities, and uniform distribution in number theory and analysis.

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