Hello,

I have some questions about my homework. I need to prove the following limits of sequences using the limit definition:

1.

2.

my proofs look like this:

1. for every we will choose , and then:

2. for every we will choose , and then:

I'm new to this kind of proofs and I'm not sure if this correct,

anyone can tell me if it's the correct way to do this?

Thank you.