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Find the limit L.Then use the Ɛ -δ definition to prove that L

0 votes
lim    cubroot of x

x-->0
asked Jan 7, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The expression is

Substitute in the above expression

Step 2:

image definition:

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

Consider 

Cubing on both sides.

Consider

Observe the relation between and  .

Hence, image.

Solution:

and image.

answered Jan 8, 2015 by Sammi Mentor

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