Question

Question #0272d

Answer 1

`lim_(xrarr1)(x^2+x-2)/(x^5-1)` `=` `3/5`

Explanation:

`lim_(xrarr1)(x^2+x-2)/(x^5-1)` `=`

`lim_(xrarr1)(cancel((x-1))(x+2))/(cancel((x-1))(x^4+x^3+x^2+x+1))` `=`

`lim_(xrarr1)(x+2)/(x^4+x^3+x^2+x+1)` `=`

`3/5`

, note: `a^n-b^n=(a-b)(a^(n-1)+a^(n-2)b+...+ab^(n-2)+b^(n-1))`