x -> 0
What is the indeterminate form of
lim n-> infinity (1 + 7/n + x/n)^n
If I let u = (7+x)/n, the problem becomes
lim n-> infinity (1+u)^((7+x)/u)
And the answer is e^7, but I don't understand the process of obtaining the answer.
Here's a site
http://en.wikipedia.org/wiki/E_(mathematical_constant)
As for your problem, from
set noting that gives so
so
.