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(Round her answer down to three decimal places.)

δ=?

2)Use the provided graph offto find a numberδsuch thatif

http://imgur.com/qIpDK9r

Step 1:

(1)

The duty is .

You are watching: Use the given graph of f to find a number δ such that

Find such that whenever .

Definition the limit:

Let be a role defined ~ above an open interval comprise and also let be a actual number.

The explain means the for every , over there exists a such that , climate .

Step 2: whenever .

We require to develop a connection between and also .

Consider .

Solve the inequality. Subtract from each side. Since , Compare the above with , climate .

Solution: .

Step 1:

(2)

Find such the whenever .

Definition that limit:

Let it is in a role defined ~ above an open up interval comprise and let it is in a real number.

The explain means the for every , over there exists a such that , climate .

Step 2: anytime .

Consider . Observe the graph: Compare and also .

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Lower value: Upper value: The values of room 0.1 and 0.3

Solution:

The worths of space 0.1 and 0.3.