Question

Plis tolong jawab donk mtk limit kelas 11, pakai cara yang jelas ya tolongg

Answer 1

Verified answer

Definisi :
Lim (1 + (n/x))^x = e^n
x=>~

Jawab :

Lim [(x + 7)/(x + 5)]^x
x=>~

Lim [(x + 5 + 2)/(x + 5)]^x
x=>~

Lim [(x + 5)/(x + 5) + 2/(x + 5)]^x
x=>~

Lim [1 + 2/(x + 5)]^x
x=>~

Misal : y = x + 5 => x = y - 5
Jika x => ~ maka (x + 5) => ~

Lim [1 + 2/y]^(y - 5)
(x + 5)=>~

Lim [(1 + 2/y)^y] / [(1 + 2/y)^5]
y=>~

= e^2 / (1 + 0)^5

= e^2 / 1

= e^2