Limits

Front

What is a limit in calculus?

Back

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

Front

What does it mean for a limit to exist?

Back

A limit exists if the function approaches the same value from both the left and right sides as the input approaches a certain point.

Front

What is the limit of a constant function?

Back

The limit of a constant function as x approaches any value is the constant itself.

Front

What is the limit of f(x) = 2x as x approaches 3?

Back

The limit is 6.

Front

What does DNE stand for in limits?

Back

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

Front

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

Back

Evaluate the function as x approaches that value from values less than it.

Front

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

Back

Evaluate the function as x approaches that value from values greater than it.

Front

What is the limit of f(x) = 1/x as x approaches 0?

Back

The limit is Infinity.

Front

What is the Squeeze Theorem?

Back

The Squeeze Theorem states that if f(x) is squeezed between g(x) and h(x) and both g and h have the same limit at a point, then f also has that limit.

Front

What is the limit of f(x) = x^2 as x approaches 2?

Back

The limit is 4.