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+--- 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?
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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).
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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. :-)