x → 4 lim ​ ( x 2 − 2 x + 1 ) = . . .

Pembahasan

Ingat sifat limit x → a lim ​ x = a x → a lim ​ k = k x → a lim ​ k x = k ⋅ x → a lim ​ x = k ⋅ a x → a lim ​ [ f ( x ) − g ( x ) ] = x → a lim ​ f ( x ) − x → a lim ​ g ( x ) x → a lim ​ [ f ( x ) + g ( x ) ] = x → a lim ​ f ( x ) + g ( x ) x → a lim ​ [ f ( x ) . g ( x ) ] = x → a lim ​ f ( x ) . x → a lim ​ g ( x ) Dengan menggunakan sifat-sifat diatas maka diperoleh perhitungan sebagai berikut. lim x → 4 ​ ( x 2 − 2 x + 1 ) ​ = = = = = = ​ lim x → 4 ​ x 2 − lim x → 4 ​ 2 x + lim x → 4 ​ 1 ( lim x → 4 ​ x . x ) − ( 2 ⋅ lim x → 4 ​ x ) + lim x → 4 ​ 1 ( lim x → 4 ​ x ⋅ lim x → 4 ​ x ) − ( 2. lim x → 4 ​ x ) + lim x → 4 ​ 1 ( 4 ⋅ 4 ) − ( 2 ⋅ 4 ) + 1 16 − 8 + 1 9 ​ Oleh karena itu, jawaban yang benar adalah C.