AP Calculus Unit 1 Test prep Limits

AP Calculus Unit 1 Test prep Limits

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Flashcard

Mathematics

University

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a limit in calculus?

Back

A limit is a value that a function approaches as the input approaches some value.

2.

FLASHCARD QUESTION

Front

What does DNE stand for in the context of limits?

Back

DNE stands for 'Does Not Exist', indicating that a limit does not approach a finite value.

3.

FLASHCARD QUESTION

Front

What is continuity at a point?

Back

A function is continuous at a point if the limit as x approaches that point equals the function's value at that point.

4.

FLASHCARD QUESTION

Front

What is a removable discontinuity?

Back

A removable discontinuity occurs when a function is not defined at a point, but can be made continuous by defining it appropriately.

5.

FLASHCARD QUESTION

Front

What is a non-removable discontinuity?

Back

A non-removable discontinuity is a point where the function cannot be made continuous by redefining it, often due to a vertical asymptote.

6.

FLASHCARD QUESTION

Front

What is a jump discontinuity?

Back

A jump discontinuity occurs when the left-hand limit and right-hand limit at a point exist but are not equal.

7.

FLASHCARD QUESTION

Front

How do you find the limit as x approaches a value?

Back

To find the limit, substitute the value into the function if it is defined, or analyze the behavior of the function as it approaches that value.

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