IXL - Find limits involving absolute value functions (Calculus practice)

Evaluate the limit.

lim

→4

–

ref_doc_title.

Learn with an example

question

Evaluate the limit.

lim

→

–

key idea

The absolute value function is a piecewise function.

x	if x ≥ 0
– x	if x < 0

The limit

lim

→

(

)

is the value that

(

)

approaches as

approaches

from the right. It is called the right-hand limit of

(

)

solution

To evaluate

lim

→

–

find the value

approaches as

approaches

–

from the right.

approaches

–

from the right, its values get closer to

–

Once

gets close enough to

–

This means

–

(

)

lim

→

–

lim

→

–

(

)

–

[

(

–

)

]

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B.6Find limits involving factorization and rationalization

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