[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
 chromos Member Posts: 198 Joined: Jun 2015
[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?

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06-30-2015, 05:28 AM
Post: #2
 parisse Senior Member Posts: 1,236 Joined: Dec 2013
RE: Cannot solve limit (1+x/n)^n; n=>infinity
I just checked, I get exp(x), maybe you have x assigned to 0?
06-30-2015, 05:41 AM
Post: #3
 Didier Lachieze Senior Member Posts: 1,508 Joined: Dec 2013
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).

06-30-2015, 05:54 AM
Post: #4
 Steve Keeley Junior Member Posts: 18 Joined: Apr 2014
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.)
06-30-2015, 12:13 PM
Post: #5
 chromos Member Posts: 198 Joined: Jun 2015
RE: Cannot solve limit (1+x/n)^n; n=>infinity
Thank you all. I didn't think I am so stupid. :-)

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