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Pertanyaan

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals 3 x cubed minus 2 x minus 1 end style. Tunjukkan bahwa begin mathsize 14px style limit as x rightwards arrow negative 2 of invisible function application f left parenthesis x right parenthesis equals f left parenthesis negative 2 right parenthesis end style  

Pembahasan Video:

Pembahasan Soal:

begin mathsize 14px style f open parentheses x close parentheses equals 3 x cubed minus 2 x minus 1 end style. Tunjukkan bahwa: begin mathsize 14px style limit as x rightwards arrow negative 2 of invisible function application f left parenthesis x right parenthesis equals f left parenthesis negative 2 right parenthesis end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow negative 2 of f left parenthesis x right parenthesis end cell row blank equals cell limit as x rightwards arrow negative 2 of 3 x cubed minus 2 x minus 1 end cell row blank equals cell 3 times left parenthesis negative 2 right parenthesis cubed minus 2 times left parenthesis negative 2 right parenthesis minus 1 end cell row blank equals cell negative 24 plus 4 minus 1 end cell row blank equals cell negative 21 end cell row blank blank blank row blank blank blank row blank blank blank row blank blank blank end table end style

Sedangkan,

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px f size 14px left parenthesis size 14px 3 size 14px right parenthesis end cell size 14px equals cell size 14px 3 size 14px times size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis to the power of size 14px 3 size 14px minus size 14px 2 size 14px times size 14px left parenthesis size 14px minus size 14px 2 size 14px right parenthesis size 14px minus size 14px 1 end cell row blank size 14px equals cell size 14px minus size 14px 24 size 14px plus size 14px 4 size 14px minus size 14px 1 end cell row blank size 14px equals cell size 14px minus size 14px 21 end cell end table 

Terbukti!

Jadi, terbukti bahwa begin mathsize 14px style limit as x rightwards arrow negative 2 of invisible function application f left parenthesis x right parenthesis equals f left parenthesis negative 2 right parenthesis end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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