Find the value of 5lim⁡𝑥→13+⌊𝑥⌋−3lim⁡𝑥→3−⌊𝑥⌋5 x→13 + lim​ ⌊x⌋−3 x→3 − lim​ ⌊x⌋, where ⌊𝑥⌋⌊x⌋ denotes the greatest integer less than or equal to 𝑥x.

Question

Find the value of 5lim⁡𝑥→13+⌊𝑥⌋−3lim⁡𝑥→3−⌊𝑥⌋5 x→13 + lim​ ⌊x⌋−3 x→3 − lim​ ⌊x⌋, where ⌊𝑥⌋⌊x⌋ denotes the greatest integer less than or equal to 𝑥x.
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Solution 1

The given expression is 5lim(x→13) [⌊x⌋] - 3lim(x→3) [⌊x⌋].

The greatest integer function, also known as the floor function, gives the largest integer less than or equal to x.

Step 1: Evaluate the limits separately.

For the first limit, as x approaches 13, the greatest integer less than or eq Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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