[SOLVED] Cannot solve limit (1+x/n)^n; n=>infinity

06302015, 03:55 AM
(This post was last modified: 06302015 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?
Prime, 15C CE 

06302015, 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?


06302015, 05:41 AM
Post: #3




RE: Cannot solve limit (1+x/n)^n; n=>infinity  
06302015, 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 nontrig functions. It's best to keep the calculator in radians mode until you need to use degrees.) 

06302015, 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. :)
Prime, 15C CE 

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