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Limx→-1x3-2x-1x5-2x-1 = ______. -

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Question

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

Options

  • `2/3`

  • `1/3`

  • `4/3`

  • `5/3`

MCQ
Fill in the Blanks

Solution

`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`

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