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Prove the statement using the Є, δ definition of a limit.

0 votes

Prove the statement using the Є, δ definition of a limit.

asked Jan 10, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The expression is .

definition:

means that for every , there exists a , such that for every , the expression  implies .

Consider .

image

image

Adding each side by .

image

As ,

image.

Step 2:

Consider .

image

As ,

image.

Observe the relation between and  .

Solution:

.

answered Jan 12, 2015 by james Pupil
edited Jan 12, 2015 by james

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