Evaluate: `lim_(xrarr1) ((2)/(x^(2)-1)+(1)/(1-x))`

Explanation

`underset(xrarr1)((2)/(x^(2)-1)+(1)/(1-x))`
`=underset(xrarr1)("lim")((2)/(x^(2)-1)-(1)/(x-1))`
`=underset(xrarr1)("lim")(2-(x+1))/(x^(2)-1)`
`=underset(xrarr1)("lim")(1-x)/((x-1)(x+1))`
`=underset(xrarr1)("lim")(-1)/(X+1)=(-1)/(1+1)=(-1)/(2)`