[SOLVED] Cannot solve limit (1+x/n)^n; n=>infinity - Printable Version +- HP Forums ( https://www.hpmuseum.org/forum)+-- Forum: HP Calculators (and very old HP Computers) ( /forum-3.html)+--- Forum: HP Prime ( /forum-5.html)+--- Thread: [SOLVED] Cannot solve limit (1+x/n)^n; n=>infinity ( /thread-4267.html) |

[SOLVED] Cannot solve limit (1+x/n)^n; n=>infinity - chromos - 06-30-2015 03:55 AM
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? [attachment=2249] RE: Cannot solve limit (1+x/n)^n; n=>infinity - parisse - 06-30-2015 05:28 AM
I just checked, I get exp(x), maybe you have x assigned to 0? RE: Cannot solve limit (1+x/n)^n; n=>infinity - Didier Lachieze - 06-30-2015 05:41 AM
Its a matter of parentheses: the way you've written it the nth power is applied to the result of limit(1+x/n). [attachment=2250] RE: Cannot solve limit (1+x/n)^n; n=>infinity - Steve Keeley - 06-30-2015 05:54 AM
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.) RE: Cannot solve limit (1+x/n)^n; n=>infinity - chromos - 06-30-2015 12:13 PM
Thank you all. I didn't think I am so stupid. :-) |