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Question

limx12(8x32x14x2+14x21)

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Solution

=limx12(8x32x14x2+14x21)

=limx12(8x32x14x2+1(2x1)(2x+1))

=limx12((8x3)(2x+1)(4x2+1)(2x1)(2x+1))

=limx12(16x23+8x6x4x21(2x1)(2x+1))

=limx12(12x2+2x4(2x1)(2x+1))

=limx12(2(6x2+x2)(2x1)(2x+1))

=limx12(2(6x2+4x3x2)(2x1)(2x+1))

=limx12(2(2x1)(3x+2)(2x1)(2x+1))

=limx12(2(3x+2)(2x+1))

=2(3(12)+2)2(12)+1

=2(72)1+1

=72

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