F (x) is invertible in positive and negative infinity, and limf '(x) = e, Lim [(x + C) / (x-C)] ^ x = Lim [f (x) - f (x-1)], find C when x →∞ The answer in my book is: Lagrange mean value theorem and the second important limit formula! The final answer is C = 1 / 2

F (x) is invertible in positive and negative infinity, and limf '(x) = e, Lim [(x + C) / (x-C)] ^ x = Lim [f (x) - f (x-1)], find C when x →∞ The answer in my book is: Lagrange mean value theorem and the second important limit formula! The final answer is C = 1 / 2

According to Lagrange mean value theorem, LIM (x →∞) (f (x) - f (x-1)) = LIM (x →∞) f '(W), X-1