# Thread: converges to zero proof

1. ## converges to zero proof

Prove xn = 2/n + 5/n^2 converges to zero.

Is this a valid proof?

We know 1/n
converges to zero. Hence, by Lemma 10 so does 2/n What shall i say about $5/n^2$ to complete the answer/proof?

2. Originally Posted by charikaar
Prove xn = 2/n + 5/n^2 converges to zero.

Is this a valid proof?

We know 1/n
converges to zero. Hence, by Lemma 10 so does 2/n What shall i say about $5/n^2$ to complete the answer/proof?

If $n\ge 6$ then $0<\frac{5}{n^2}<\frac{1}{n}$.

3. Originally Posted by Plato
If $n\ge 6$ then $0<\frac{5}{n^2}<\frac{1}{n}$.

(xn)n=1 to infinity is a sequence.I think the question should be: does this sequence xn = 2/n + 5/n^2 converge to zero? Prove your answer.

4. Which Plato has done nicely. What is your objection?

5. Originally Posted by HallsofIvy
Which Plato has done nicely. What is your objection?

6. Originally Posted by charikaar
I am sorry, but that laughable?

7. Originally Posted by Plato
I am sorry, but that laughable?
that emoticon is (skype thinking).

to prove convergence, are we only interested in larger n i.e we ignore 0<n<6 as in this question.

8. Originally Posted by charikaar
to prove convergence, are we only interested in larger n i.e we ignore 0<n<6 as in this question.
It is impossible to help someone who has no clue about the basic concepts involved in the question at hand.

9. Originally Posted by Plato
It is impossible to help someone who has no clue about the basic concepts involved in the question at hand.
I am trying to learn new stuff.

Your help is much appreciated Plato