Tara Alvarado

2022-01-13

Verification of the limit of a succession

$\underset{n\to +\mathrm{\infty}}{lim}\frac{\mathrm{ln}(n+1)}{2n}=0$

Procedure.

$\left|\frac{\mathrm{ln}(n+1)}{2n}\right|<\u03f5$

Procedure.

braodagxj

Beginner2022-01-14Added 38 answers

Step 1

Let

By definition,

that is,

Since that

Therefore,

Let

Note: We know that for all

Reference: For all

Annie Levasseur

Beginner2022-01-15Added 30 answers

Step 1

First note

Let

So

For

gives

Define

Then when

or

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