- #1

- 775

- 2

If [tex] \lim_{n→∞}a_{n} = L[/tex] Prove that [tex] \lim_{n→∞}a_{n-1} = L [/tex]

I am trying to use the Cauchy definition of a limit, but don't know where to begin. Thanks.

BiP

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- Thread starter Bipolarity
- Start date

- #1

- 775

- 2

If [tex] \lim_{n→∞}a_{n} = L[/tex] Prove that [tex] \lim_{n→∞}a_{n-1} = L [/tex]

I am trying to use the Cauchy definition of a limit, but don't know where to begin. Thanks.

BiP

- #2

- 22,129

- 3,297

[tex]\lim_{n\rightarrow +\infty}{a_n}=L[/tex]

and

[tex]\lim_{n\rightarrow +\infty}{a_{n-1}}=L[/tex]

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