# Put limit in big O little O notation?

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So for the two functions, lnx and x-lnx. Compare which one grows faster and put it in the big o little o notation ( slower = o (faster) , top = O (bottom))

So for the two functions, lnx and x-lnx. Compare which one grows faster and put it in the big o little o notation ( slower = o (faster) , top = O (bottom))

##### 1 Answer

#### Explanation:

Supposing we are here required to evaluate the behavior for

and:

In our case let

Evaluate now the limit:

it is in the indeterminate form

Then:

which means: