Question

Find the constant a such that:
lim as x->infinity [(x+a)/(x-a)]^x = e

Answer 1

Hint:
\[ \lim_{x \rightarrow \infty} (1 + 1/x)^x = e \]

Answer 2

hmm

Answer 3

how do u know that?

Answer 4

if you want to convince yourself (using the easiest way possible) of what james wrote you could always take increasingly large values of x to see what f approaches

Answer 5

f being (1+1/x)^x

Answer 6

i have to go you guys have fun

Answer 7

ok ty

Answer 8

can u explain a bit more?