@mathematics Tough question, HELP!

Find all values of a so that

lim x→∞ of ((x+a)/(x-a))^x = e @mathematics Tough question, HELP!

Find all values of a so that

lim x→∞ of ((x+a)/(x-a))^x = e @Mathematics

Question

@mathematics Tough question, HELP!

Find all values of a so that

lim x→∞ of ((x+a)/(x-a))^x  = e @mathematics Tough question, HELP!

Find all values of a so that

lim x→∞ of ((x+a)/(x-a))^x  = e @Mathematics

anonymous · Answer

$$\lim_{x \rightarrow \infty} ((x+a)/(x-a))^x = e$$

agreene · Answer

1/2 is the only real solution I can think of, for the reals.
There should be infinite complex solutions.

agreene · Answer

redundancy is redundant... the only real solution, for the reals... I'm failing at this tonight.