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Question

Evaluate:limx3x+13x5x3

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Solution

limx3x+13x5x3
=limx3x+13x5x3×x+1+3x5x+1+3x5
=limx3x+13x+5(x3)(x+1+3x5)
=limx32x+6(x3)(x+1+3x5)
=limx32(x3)(x3)(x+1+3x5)
=limx32x+1+3x5
=23+1+3×35
=24+95
=24+4
=22+2=24=12


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