Pertanyaan

Diketahui f ( x ) = { 3 x − 5 untuk x ≥ 3 x 2 − x − 2 untuk < 3 Tentukan nilai limit fungsi-fungsi berikut! a. x → 7 lim f ( x ) b. x → 3 lim f ( x ) c. x → − 2 lim f ( x )

Diketahui $f (x) = {3 x - 5 untuk x \geq 3 x^{2} - x - 2 untuk < 3$

Tentukan nilai limit fungsi-fungsi berikut!

a. $x \to 7 lim f (x)$

b. $x \to 3 lim f (x)$

c. $x \to - 2 lim f (x)$

O. Rahmawati

Master Teacher

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

Jawaban terverifikasi

Pembahasan

a. b. c.

a. limit as x rightwards arrow 7 of f left parenthesis x right parenthesis

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 7 of 3 x minus 5 end cell equals cell 3 left parenthesis 7 right parenthesis minus 5 end cell row blank equals cell 21 minus 5 end cell row blank equals 16 end table

b. limit as x rightwards arrow 3 of f left parenthesis x right parenthesis

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of 3 x minus 5 end cell equals cell 3 left parenthesis 3 right parenthesis minus 5 end cell row blank equals cell 9 minus 5 end cell row blank equals 4 end table

c. limit as x rightwards arrow negative 2 of f left parenthesis x right parenthesis

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 2 of x squared minus x minus 2 end cell equals cell left parenthesis negative 2 right parenthesis squared minus 2 minus 2 end cell row blank equals cell 4 minus 2 minus 2 end cell row blank equals 0 end table