If the third term of the expansion of the 9th power of (1-2) is 288, then Lim [1 / x + 1 / X & # 178; +] +1 / (n-th power of x)] =? N tends to be positive infinity

If the third term of the expansion of the 9th power of (1-2) is 288, then Lim [1 / x + 1 / X & # 178; +] +1 / (n-th power of x)] =? N tends to be positive infinity

The third term of solution (1-2 ^ x) ^ 9 is 36 * 2 ^ (2x)
Then 36 * 2 ^ (2x) = 288 and x = 3 / 2
So Lim [1 / x + 1 / X & #178; +] +1 / (n-th power of x)] = (1 / x) / (1-1 / x) = (2 / 3) / (1-2 / 3) = 2