Tentukan hasilnya!
[tex] \large \lim \limits_{x \to \infty } \: \cfrac{ {2}^{x + 1} + {3}^{x + 1} + {4}^{x + 1} + {5}^{x + 1} }{{2}^{x - 1} + {3}^{x - 1} + {4}^{x - 1} + {5}^{x - 1}} [/tex]
Opsi
a. 1
b. 4
c. 9
d. 16
e. 25![]()
[tex] \large \lim \limits_{x \to \infty } \: \cfrac{ {2}^{x + 1} + {3}^{x + 1} + {4}^{x + 1} + {5}^{x + 1} }{{2}^{x - 1} + {3}^{x - 1} + {4}^{x - 1} + {5}^{x - 1}} [/tex]
Opsi
a. 1
b. 4
c. 9
d. 16
e. 25
Penyelesaian:
[tex] \lim \limits_{x \to \infty } \: \cfrac{ {2}^{x + 1} + {3}^{x + 1} + {4}^{x + 1} + {5}^{x + 1} }{{2}^{x - 1} + {3}^{x - 1} + {4}^{x - 1} + {5}^{x - 1}}[/tex]
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Saya selesaikan bentuk pangkat nya saja dulu.
2^x+1-(x-1)+3^x+1-(x-1)+4^x+1-(x-1)+5^x+1-(x-1)
=2²+3²+4²+5²
=4+9+16+25
=54
Lim x→∞ 54=54
[tex] \boxed{ \colorbox{black}{ \sf{ \color{lightgreen}{ answered\:by\:Duone}}}} [/tex]
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