Finding limits from graphs

Front

What is a limit in calculus?

Back

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

Front

How do you find the limit of a function from a graph?

Back

You observe the y-values that the function approaches as the x-values get close to the point of interest.

Front

What does it mean if a limit exists?

Back

It means that as the input approaches a certain value, the output approaches a specific number.

Front

What does DNE stand for in the context of limits?

Back

DNE stands for 'Does Not Exist', indicating that a limit cannot be determined.

Front

What is the limit notation for approaching a value?

Back

The notation is written as lim_x→a f(x), where 'a' is the value being approached.

Front

What does it mean if the limit is infinite?

Back

It means that as the input approaches a certain value, the output increases or decreases without bound.

Front

What is a removable discontinuity?

Back

A removable discontinuity occurs when a limit exists at a point, but the function is not defined at that point.

Front

What is a jump discontinuity?

Back

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

Front

How do you determine the limit of a piecewise function?

Back

Evaluate the limit from the left and right sides of the point of interest and check for equality.

Front

What is the significance of the y-value at a hole in the graph?

Back

The y-value at a hole represents the limit of the function as it approaches that x-value.