[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: 1,506 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.

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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