Question

How do I solve this question?

Answer 1

Solution.

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▪ lim ( x^2-4x+3)/(x^2-2x-3)
x-->3

▪lim (x^2 -3x-x +3)/(x^2 -3x+x -3)
x-->3

▪ lim [x (x-3)-1(x-3)] / [(x (x-3)+1 (x-3)]
x-->3

▪ lim [(x-3)(x-1)] / [(x-3)(x+1)]
x-->3

▪ lim ( x-1 ) / (x+1)
x--> 3

Now, substitute the value of x = 3

▪(3-1) / (3+1)
▪2/4
▪1/2 .......... is the answer of ur question.

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↪ Hope this will help you ↩

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☛ ⛧⛧ By Ⓜr. Thakur ⛧⛧