Vault Of Euclid

Limit of the Difference of Natural Logarithms

Polar coordinates warmup

\(a_{n}=\ln(n+1)-\ln n.\)

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What you need first

Properties of logarithms, specifically the quotient rule
Limits of rational functions at infinity
Continuity of elementary functions

What this problem tests

Tests the ability to apply logarithm properties to simplify expressions and the understanding of limits involving continuous functions.

This type of problem frequently appears in Calculus II or introductory Real Analysis courses when introducing sequences and their convergence.

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