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Question

Solve
limx5x56x54x+5

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Solution

limx5=x56x54x+5
Multiplying numerator & denominator by (6x5+4x+5)
=limx5=x5(6x5+4x+5)(6x54x+5)(6x5+4x+5)
=limx5=x5(6x5+4x+5)(6x54x+5)
=limx5=x5(6x5+4x+5)2x10
=limx5=x5(6x5+4x+5)2(x5)
=limx5=(6x5+4x+5)2
=6×55+4x+52 6×55+4×5+52
=25+252
=5+52
=5

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