1, the first 0, the value range of the molecule sinx is between-1 and 1, the denominator 1-x tends to negative infinity, and lnx tends to positive infinity.

2, the second negative infinity, the molecule sinx tends to sin 1 when x tends to1,and the denominator is divided into left and right limits.

X= 1 left limit, that is, x tends to 1 and less than 1, denominator 1-x tends to 0 and more than 0, and lnx tends to 0 and less than 0, so the denominator as a whole tends to 0 and less than 0.

X= 1 right limit, that is, x tends to 1 and is greater than 1, denominator 1-x tends to 0 and less than 0, and lnx tends to 0 and more than 0, so the denominator as a whole tends to 0 and less than 0.

To sum up, when x tends to 1, the original formula is sin 1/0, the denominator is less than 0, and the limit is negative infinity.