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Question
Evaluate the following Limits: `lim_(x -> 2)[((x - 2))/(2x^2 - 7x + 6)]`
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Solution
`lim_(x -> 2)[((x - 2))/(2x^2 - 7x + 6)]`
= `lim_(x -> 2) ((x - 2))/((x - 2)(2x - 3)`
= `lim_(x -> 2) 1/(2x - 3) ...[("As" x -> 2"," x ≠ 2),(therefore x - 2 ≠ 0)]`
= `1/(2(2) - 3)`
= 1
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