For the first one Rewrite it as

Now let

So as

So we have

Now

and

So we can say that

Now can you see why?

Or if you wanted to do L'hopital's

Since

we have that

Now we cannot apply L'hopital's again since it is not but

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Now for the second one

So we have that

Now you should be able to see whats the deal there.

Or with L'hopitals

Now we cannot apply Lhopitals again since this is