Trig Values Flashcard plus 4 Limit Questions - 34

Front

What is the definition of a limit in calculus?

Back

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

Front

What does it mean for a limit to exist?

Back

A limit exists if the left-hand limit and right-hand limit are equal as the input approaches a certain value.

Front

What is the significance of one-sided limits?

Back

One-sided limits help determine the behavior of a function from the left or right side of a specific point.

Front

Back

1

Front

Back

0

Front

True or False: For a limit to exist, the function must also exist at that value.

Back

False

Front

True or False: For a limit to exist, the one-sided limits must be the same.

Back

True

Front

What is the limit of a constant function as x approaches any value?

Back

The limit is equal to the constant value.

Front

Back

DNE (Does Not Exist) because it approaches infinity.

Front

What is the Squeeze Theorem?

Back

The Squeeze Theorem states that if a function is squeezed between two other functions that have the same limit at a point, then the squeezed function also has that limit.