Math Problem Statement

Determine the points in the interval ​(11​,66​) at which the function has a discontinuity. At each point of​ discontinuity, state the conditions in the continuity checklist that are violated. 1.​ f(a) is defined​ (a is in the domain of​ f). 2. ModifyingBelow lim With x right arrow alimx→a ​f(x) exists. 3. ModifyingBelow lim With x right arrow a f left parenthesis x right parenthesis equals f left parenthesis a right parenthesislimx→a f(x)=f(a) ​(the value of f equals the limit of f at​ a).

Solution

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Math Problem Analysis

Mathematical Concepts

Continuity
Limits
Functions

Formulas

\lim_{x \to a} f(x)
f(a)

Theorems

Continuity at a Point
Limits of Functions

Suitable Grade Level

Grades 11-12