Can't Seem to Solve Alpha: Find the Limit

SherlockOhms · Mar 13, 2013

Screenshot of a Wolfram Alpha query on a phone showing the limit as n approaches infinity of (n + i/n)/((-1)^n + 2i(n)), with the input and limit input rendered as equations.

See attached image.
Can't seem to get alpha to compute this. Had this in a test and it stumped me. Could someone explain how to find the limit? Thanks in advance guys.

Snark1994 · Mar 13, 2013

Just divide top and bottom by [itex]n[/itex]. Then the limit of the numerator is 1, while the limit of the denominator is [itex]2i[/itex] (the [itex]\frac{(-1)^n}{n}[/itex] has magnitude which tends to [itex]0[/itex]).

SherlockOhms · Mar 13, 2013

Cool, thanks man. I was under impression that I had to separate the function up into it's real and imaginary parts.

Can't Seem to Solve Alpha: Find the Limit

Discussion

Similar threads