Question

`lim_(x→-1) (x^3 - 2x - 1)/(x^5 - 2x - 1)` = ______.

पर्याय

• `2/3`

• `1/3`

• `4/3`

• `5/3`

Answer 1

`lim_(x→-1) (x^3 - 2x - 1)/(x^5 - 2x - 1)` = `underlinebb(1/3)`.

Explanation:

`lim_(x→-1) (x^3 - 2x - 1)/(x^5 - 2x - 1)` 

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