Post Reply 
[SOLVED] Cannot solve limit (1+x/n)^n; n=>infinity
06-30-2015, 03:55 AM (This post was last modified: 06-30-2015 12:19 PM by chromos.)
Post: #1
[SOLVED] Cannot solve limit (1+x/n)^n; n=>infinity
I haven't real calculator, but both my android app (2015 04 20) and HP Prime PC (Rev:8151) solve limit (1+x/n)^n; n=>infinity as 1, but proper result is e^x. Am I doing something wrong or is it bug?

   

Geocaching Coords Solver, Number of triangles Puzzle
Find all posts by this user
Quote this message in a reply
06-30-2015, 05:28 AM
Post: #2
RE: Cannot solve limit (1+x/n)^n; n=>infinity
I just checked, I get exp(x), maybe you have x assigned to 0?
Find all posts by this user
Quote this message in a reply
06-30-2015, 05:41 AM
Post: #3
RE: Cannot solve limit (1+x/n)^n; n=>infinity
Its a matter of parentheses: the way you've written it the nth power is applied to the result of limit(1+x/n).

   
Find all posts by this user
Quote this message in a reply
06-30-2015, 05:54 AM
Post: #4
RE: Cannot solve limit (1+x/n)^n; n=>infinity
Two things:

1. The parenthesis supplied for the limit function is intended to hold the entire argument. You put the power of "n" outside the function.

Instead of lim(1+x/n)^n use lim((1+x/n)^n).

2. Put the calculator in radians mode. (Sorry, I have no idea why this is so, but it applies to many non-trig functions. It's best to keep the calculator in radians mode until you need to use degrees.)
Find all posts by this user
Quote this message in a reply
06-30-2015, 12:13 PM
Post: #5
RE: Cannot solve limit (1+x/n)^n; n=>infinity
Thank you all. I didn't think I am so stupid. :-)

Geocaching Coords Solver, Number of triangles Puzzle
Find all posts by this user
Quote this message in a reply
Post Reply 




User(s) browsing this thread: 1 Guest(s)