+- 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: limit approaching e (/thread-21176.html)
limit approaching e - joesao - 01-17-2024 12:44 AM
Hi everyone,
Is there a way to find this limit such that the calculator returns the right answer (e) rather than 1?
lim x -> 0 of (1 + x^2)^(1/x^2)
Please see image attached, thanks.
RE: limit approaching e - xmehq - 01-17-2024 02:33 PM
In your attached image, you have the exponent outside the parentheses for the limit so it’s finding the limit and then applying the exponent. Try putting the exponent inside the closing parentheses rather than outside it.
RE: limit approaching e - joesao - 01-17-2024 02:58 PM
Ah, yes, I just got this calculator so made this mistake, thanks for pointing it out, it works perfectly.
RE: limit approaching e - Matt Agajanian - 01-17-2024 10:44 PM
Thanks. Good equation to add in my library.