Properties of Limits

Front

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

Back

The limit of a function as x approaches a specific value is the value that the function approaches as x gets closer to that specific value.

Front

If @@ ext{lim}_{x ightarrow c} f(x) = L@@, what does this mean?

Back

This means that as x approaches c, the function f(x) approaches the value L.

Front

What is the limit of a product of two functions?

Back

Front

What is the limit of a quotient of two functions?

Back

Front

What is the limit of a constant multiplied by a function?

Back

Front

What is the limit of a function as x approaches from the left?

Back

The limit of a function as x approaches from the left (denoted as @@ ext{lim}_{x ightarrow c^-} f(x)@@) is the value that f(x) approaches as x approaches c from values less than c.

Front

What is the limit of a function as x approaches from the right?

Back

The limit of a function as x approaches from the right (denoted as @@ ext{lim}_{x ightarrow c^+} f(x)@@) is the value that f(x) approaches as x approaches c from values greater than c.

Front

What does DNE stand for in limits?

Back

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

Front

Back

@@ ext{lim}_{x ightarrow c} [f(x) + g(x)] = L + M@@.

Front

What is the Squeeze Theorem?

Back