Use Theorem 1 to determine the limit of the sequence or state that the sequence diverges r n ln n ln(n 2 1) THEOREM 1 Sequence Defined by a Function If lim f(x) exists, then the se XIX quence an f(n) converges to the same limit lim an lim f(x) 818 xx...

We have rn fn where fx lnx Inx 1 ...

Use Theorem 1 to determine the limit of the sequence or state that the sequence diverges. r

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Use Theorem 1 to determine the limit of the sequence or state that the sequence diverges.

THEOREM 1 Sequence Defined by a Function If lim f(x) exists, then the se- XIX quence an = f(n) converges to

r_n= ln n − ln(n²+ 1)

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Calculus

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Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Use Theorem 1 to determine the limit of the sequence or state that the sequence diverges. r

Question:

THEOREM 1 Sequence Defined by a Function If lim f(x) exists, then the se- XIX quence an = f(n) converges to the same limit: lim an = lim f(x) 818 xx

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We have rn fn where fx lnx Inx 1 ...View the full answer

Calculus

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