Limits from Graphs

Front

What is the definition of a limit from the right?

Back

The limit of a function as the input approaches a certain value from the right (denoted as \( \lim_{x \to c^+} f(x) \)) is the value that f(x) approaches as x gets closer to c from values greater than c.

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

Evaluate \( \lim_{x \to -2^+} f(x) \) if the graph approaches 0 from the right.

Back

0

Front

Evaluate \( \lim_{x \to -1^-} f(x) \) if the graph approaches 3 from the left.

Back

3

Front

What does it mean if \( \lim_{x \to c} f(x) \) does not exist?

Back

It means that as x approaches c, f(x) does not approach any specific value, which can occur due to a jump, infinite behavior, or oscillation.

Front

Evaluate \( \lim_{x \to 2^-} g(x) \) if the graph approaches -1 from the left.

Back

-1

Front

What is the limit of a function as x approaches negative infinity?

Back

The limit as x approaches negative infinity describes the behavior of the function as x decreases without bound.

Front

Evaluate \( \lim_{x o - ext{infinity}} f(x) \) if the graph approaches 1.

Back

1

Front

What is the significance of a limit approaching infinity?

Back

If \( \lim_{x \to c} f(x) = \infty \), it indicates that f(x) increases without bound as x approaches c.

Front

Evaluate \( \lim_{x o -1} f(x) \) if the limit does not exist due to a jump discontinuity.

Back

DNE