Assalamualaikum, mohon bantuannya guys
Jawab:
-1/3
Penjelasan dengan langkah-langkah:
=lim x->2 [√(3x+3) -√(5x-1) ] /(x-2) x [√(3x+3) +√(5x-1) ]/[√(3x+3) +√(5x-1) ]
= lim x->2 (3x+3-5x+1) /[ (x-2).[√(3x+3) +√(5x-1)] ]
= lim x->2 (-2x+4) /[ (x-2). [√(3x+3) +√(5x-1) ]
= lim x->2 -2/ [√(3x+3) +√(5x-1) ]
Masukkan x =2 ke fungsi:
= -2/[√(3.2+3) +√(5.2-1) ]
= -2/[√9 +√9 ]
= -2/(3 + 3)
= -2/6
= -1/3