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# Computing limits problem, help needed. watch

1. Hello all, I am stuck on this question.

It is asking me to compute the limit as n tends to infinity of the sequence

a(n)=(1+1/(k*n))^n where k is a natural number.

I have a hint saying use the Limit as n tends to infinity of (1+1/n)^n=e.

Do I use the squeeze rule for this. I am so confused.

Thanks.
2. (Original post by Mr XcX)
Hello all, I am stuck on this question.

It is asking me to compute the limit as n tends to infinity of the sequence

a(n)=(1+1/(k*n))^n where k is a natural number.

I have a hint saying use the Limit as n tends to infinity of (1+1/n)^n=e.

Do I use the squeeze rule for this. I am so confused.

Thanks.
Put
3. (Original post by atsruser)
Put
So what will the limit be. Sorry I am just really confused.

We sub in u.

So we will get (1+k/u)^n?

Thanks for helping me with this.
4. (Original post by Mr XcX)
So what will the limit be. Sorry I am just really confused.

We sub in u.

So we will get (1+k/u)^n?

Thanks for helping me with this.
Yes, but more to the point we get, when we replace too:

Now compare that to your hint, and use one of the rules of powers.
5. (Original post by atsruser)
Yes, but more to the point we get, when we replace too:

Now compare that to your hint, and use one of the rules of powers.
Okay, thanks

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