Hi mate
=>
Now you should be able to get the solution , for x -> infty
Yours,
Rapha
Hi, okay so I have the following limit:
lim x-->infinity [1+(4/(x-2))]^x
so I don;'t know how to get rid of the power of x...? I am pretty sure that I have to put it into a l'hopitalable form but because of the power of x I am stuck!
Thank you
note: I triedwritting all this nicely with html codes but it said there aas an error sorry about that!
why did you equate 1 to (X-2)/ (x-2) ...
I wanted to get one term for 1+(4/(x-2)), that is why i equated to (x-2)/(x-2)
yes, we are, unless there is another solution, but I don't know an alternative.
So
my last step was
I'm gonna show that x*ln [(x+2)/(x-2)] = 4, x to infty
Derivatives:
[ ln((x+2)/(x-2)) ] ' = 4/((x + 2)(2 - x))
Using L'Hospital leeds to the problem
Are you able to show that , x to infty
?
Thank you, this statement is very polite
Rapha