(1 + x/n)^n = e^x as n approaches infinity
Without using l'Hopitals Rule?
The book proves (1 + 1/n)^n = e as n tends to infinity.
by considering f(x) = ln(x) and f'(x) = 1/x and f'(1) = 1
Then from first principles proves eventually that (1 + 1/n)^n = e as n tends to infinity, by letting n = 1/h etc.