Determine the limit of the sequence a sub n = n!/(n+3)!

[crossova999]

i really dont even know where to start. i know that after doing some math you get infinity over infinity and dont know what to do after that...please help.

The problem is: Determine the limit of the sequence

An=n!/(n+3)!

 

[stapel]

i really dont even know where to start.

So you haven't encountered factorials before? Nor sequences or series? Nor horizontal asymptotes (like the "limit" being sought here)? Because you were supposed to have learned all of these topics back in algebra!

Here's some help to get you started:

. . . . .Google results for "factorials"
. . . . .Google results for "sequences and series"
. . . . .Google results for "horizontal asymptotes"

Please study at least two lessons from each link. Then please reply showing how you would simplify the factorial expression, and what you would do about finding the horizontal asymptote, had the expression used "x" instead of "n" and had you been working with "y = f(x)" instead of "A_n". Thank you! :wink: