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Limx→1x2-3x+2x2-1 = ? -

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Question

`lim_(x->1) (x^2 - 3x + 2)/(x^2 - 1)` = ?

Options

  • 0

  • `(- 1)/2`

  • `(- 7)/3`

  • `(- 5)/2`

MCQ

Solution

`(- 1)/2`

Explanation:

`lim_(x->1) (x^2 - 3x + 2)/(x^2 - 1)`

`= lim_(x->1) ((x - 1)(x - 2))/((x - 1)(x + 1))`

`= lim_(x->1) (x - 2)/(x + 1)`

`= (- 1)/2`

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