- #1
wilcofan3
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Homework Statement
Evaluate [tex]\lim_{n->\infty} \frac {cos(n+1)} {ln n}[/tex]
Homework Equations
[tex]cos (x+1) = 1 - \frac {(x+1)^2} {2!} + \frac {(x+1)^4} {4!} - ...[/tex]
[tex]ln x = (x-1) - \frac {(x-1)^2} {2} + \frac {(x-1)^3} {3} - \frac {(x-1)^4} {4} + ...[/tex]
The Attempt at a Solution
Using those formulas, and then canceling, here is my pitiful attempt:
[tex]\lim_{n->\infty} \frac {1 - \frac {1} {n!}} {(n-1)}[/tex]