*

*
*

*

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(Round your answer down to 3 decimal places.)

δ=?

2)Use the provided graph offto discover a numberδsuch thatif

http://imgur.com/qIpDK9r


please log in or it is registered to include a comment. you re welcome log in or it is registered to prize this question. 2 answer 0 votes

Step 1:

(1)

The duty is

*
.

You are watching: Use the given graph of f(x) = x to find a number δ such that if |x − 4| < δ then x − 2 < 0.4.

Find

*
such that
*
whenever
*
.

Definition of limit:

Let

*
be a role defined ~ above an open interval containing
*
and also let
*
be a genuine number.

The declare

*

means that for every

*
, there exists a
*
such the
*
, climate
*
.

Step 2:

*
whenever
*
.

We need to create a connection between

*
and
*
.

Consider

*
.

Solve the inequality.

*

Subtract

*
from each side.

*

Since

*
,

*

Compare the above with

*
, climate
*
.

Solution:

*
.

answeredFeb 2, 2015by LucyMentor please log in or register to add a comment. 0 votes

Step 1:

(2)

Find

*
such that
*
whenever
*
.

Definition of limit:

Let

*
be a duty defined top top an open interval containing
*
and let
*
be a actual number.

The statement

*

means that for each

*
, over there exists a
*
such that
*
, then
*
.

Step 2:

*
at any time
*
.

Consider

*
.

*

Observe the graph:

*

Compare

*
and
*
.

See more: What Is 36 Degrees Celsius In Fahrenheit ), What Is 36 Degrees Celsius In Fahrenheit

Lower value:

*

Upper value:

*

The worths of

*
room 0.1 and also 0.3

Solution:

The values of

*
are 0.1 and also 0.3.

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