Evaluate: `lim_(xrarr2) (x^(2)-4)/(x-2)`

Explanation

`underset(xrarr2)"lim"(x^(2)-4)/(x-2)`
`(x^(2)-4)/(x-4)=(0)/(0)` when x=2 (indeterminate form)
`therefore underset(xrarr2)"lim"(x^(2)-4)/(x-2)=underset(xrarr2)("lim")((x-2)(x+2))/((x-2))`
`-underset(xrarr2)("lim")(x+2)=2+2=4`.