calculus review question

Mathematics
Tutor: None Selected Time limit: 1 Day

http://gyazo.com/4979f938842fc56762a4cd166d33e10b

Dec 16th, 2014

Lim f(x) = 0 as x -> ∞

When x > n0  then f(x) < small number epsilon . If we take this as .0000001, it is true that f(x) < 0.00000001

For example let us take f(x)=1/x

If x > 1/0.00000001 =108 > 100 million, then f(x) < 0.00000001

First statement is true

The limit will be approached but not attained.

Hence there is no finite x for which f(x) =0

Second statement is not true

Dec 16th, 2014

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Dec 16th, 2014
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Dec 16th, 2014
Dec 5th, 2016
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