Limit x mendekati 6 2-√x-2/x-6=
Jawaban Terkonfirmasi
Limx→6 [2-√x-2 /x-6]
=limx→6 [(2-√x-2 / x-6)(2+√x-2 / 2+√x-2)]
=limx→6 [(4-(x-2) / (x-6)(2+√x-2)]
=limx→6 [-(x-6) / (x-6)(2+√x-2)]
=limx→6 [-1 / 2+√x-2]
= -1 / 2+√4
= -1 / 2+2
= -1/4
Limit x mendekati 6 2-√x-2/x-6=
Limx→6 [2-√x-2 /x-6]
=limx→6 [(2-√x-2 / x-6)(2+√x-2 / 2+√x-2)]
=limx→6 [(4-(x-2) / (x-6)(2+√x-2)]
=limx→6 [-(x-6) / (x-6)(2+√x-2)]
=limx→6 [-1 / 2+√x-2]
= -1 / 2+√4
= -1 / 2+2
= -1/4