((x + 1) ^ (x + 1) / x ^ x) * sin1 / x x tends to infinity to find limit

((x + 1) ^ (x + 1) / x ^ x) * sin1 / x x tends to infinity to find limit

Original formula = [(x + 1) ^ X / x ^ x] * (x + 1) * sin1 / X
=(1+1/x)^x * (x+1) * sin1/x
The first formula tends to e, and the equivalent infinitesimal of the third formula is 1 / X
Original - > e * 1 = e