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Question

Find the following limit.
limx2x25x+6x212x+20.

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Solution

limx2x25x+6x212x+20
By using factorization method
limx2x22x3x+6x210x2x+20

limx2x(x2)3(x2)x(x10)2(x10)

limx2(x3)(x2)(x2)(x10)

=23210=18=18.

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