Question

Nilai dari lim(x->infinity) [(akar(x+1)(x+2)) - x] adalah

Answer 1

Lim(x -> ~) [√ ((x+1) (x-2)) - x ]{√((x+1)(x+2)) + x} / {√((x+1)(x-2)) + x)}
lim(x->~) [(x+1)(x-2) - x²] / [√((x+1)(x-2)) + x)]
lim(x->~) [ -x -2 ] / [√(x²-x-2) + x]
= -1/ (√(1) + 1)
= - 1/2

Answer 2

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