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# limits.... watch

1. i have to prove this Qn:

Prove; for all integers x>0.

I don't know where to start with this, as the limit says as x-> MINUS infinity, but x>0?

(EDIT)

2. Prove what?

Btw, presumably n is the integer not x.
3. Ooops! sorry! that the limit is equal to zero

4. (Original post by DrSheldonCooper)
i have to prove this Qn:

Prove; for all integers x>0.

I don't know where to start with this, as the limit says as x-> MINUS infinity, but x>0?

(EDIT)

Well you should know that
as .
Now what happens?
You can do the same thing for
Once you know what happens to both of the two it should be obvious why the limit is 0.
5. (Original post by DrSheldonCooper)
...

Consider the series expansion of and see if you can simplify the fraction.
6. It's a bit difficult to give you an answer to this question without knowing what kind of proof you expect: epsilon/delta or is faffing about with "lim" notation enough? How have you defined exp?
7. Oh I just thought of an alternative method. It requires knowledge of L'Hopital's rule:

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