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Question
Evaluate the following limit.
`lim_(x- > 2) (3x^2 - x - 10)/(x^2- 4)`
Solution
`lim_(x → 2)(3x^2 - x - 10)/(x^2 - 4)`
= `lim_(x → 2) ((x - 2)(3x + 5))/((x - 2)(x + 2))`
= `lim_(x → 2)((3x + 5))/((x + 2))`
= `(3 xx 2 + 5)/(2 + 2)`
= `11/4`
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