Question

Lim x to inf (1+ 1/x)^(2x)
Without L'Hospital's

Answer 1

what is
\[\lim_{x\to \infty}(1+\frac{1}{x})^x\]?

Answer 2

the power is 2x and the result is 1 i dont understand why it's not e^2 =(

Answer 3

it is \(e^2\)

Answer 4

oops sorry, wrong number

Answer 5

no wonder you don't understand why it is not \(e^2\) since it is !!

Answer 6

its lim x to 0 (1+2x)^x

Answer 7

this one is 1 and I dont understand!!!

Answer 8

what form is this in?

Answer 9

@eliassaab where you been? nice to see you back

Answer 10

Thanks, I have been busy travelling.

Answer 11

\[\lim_{x \rightarrow 0} \left( 1+2x \right)^{x}\]

Answer 12

sounds nice
@matheusoliveira i mean "what form" as in \(\frac{0}{0}\) or \(1^{\infty}\) for example

Answer 13

i dont know i think its 1^0 but i dont know if its right

Answer 14

yes you are right and that form is not "indeterminate" that form is just 1

Answer 15

i see, can u help some more? pliz