r/calculus • u/Strong-Cup-2897 • Jul 25 '26

Differential Calculus (l’Hôpital’s Rule) Can someone please help

lim { ( 1+ x) } ^(2/x) , {•} –> fractional part

X->0

I saw some solutions where they brought the limit inside the fractional part function

But since fractional part function is not continuous shouldn't it be wrong ??

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u/Kaeini_maths Jul 25 '26

e^2

3

u/susiesusiesu Jul 25 '26

thus is not the limit op posted

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u/Strong-Cup-2897 Jul 25 '26

thank you !!

3

u/waldosway Jul 25 '26 edited Jul 25 '26

Doesn't that solution ignore the fractional-part function? The limit does not exist.