High number, use Taylor formula LIM (x + 1) ln (1 + 1 / x). X approaches positive infinity

High number, use Taylor formula LIM (x + 1) ln (1 + 1 / x). X approaches positive infinity

Because ln (1 + 1 / x) = 1 / x + O (1 / x) (Taylor expansion)
Limit = (1 + x) / x = 1