Find lim x->2 x^2 -5x +6 / x^2 -4
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Lt x->2 { x²-5x+6}/ x²-4
= Lt x-> 2 { (x-3)(x-2) } / { (x+2)(x-2) }
= Lt x-> 2 { x - 3 } / {x+2 }
= 2-3/2+2
= -1/4 .
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= Lt x-> 2 { (x-3)(x-2) } / { (x+2)(x-2) }
= Lt x-> 2 { x - 3 } / {x+2 }
= 2-3/2+2
= -1/4 .
Hope helped
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