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Diketahui f ( x ) = 2 x − 5 dan g ( x ) = 3 x 2 + 4 x , tentukanlah: x → 3 lim ​ { f ( x ) + g ( x ) }

Diketahui  dan , tentukanlah:

 

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Master Teacher

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style limit as x rightwards arrow 3 of left curly bracket f open parentheses x close parentheses plus g open parentheses x close parentheses right curly bracket equals 40 end style 

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Dengan menerapkan sifat limit fungsi aljabar. Jadi,

Dengan menerapkan sifat limit fungsi aljabar.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of left curly bracket f open parentheses x close parentheses plus g open parentheses x close parentheses right curly bracket end cell equals cell limit as x rightwards arrow 3 of f open parentheses x close parentheses plus limit as x rightwards arrow 3 of g open parentheses x close parentheses end cell row blank equals cell limit as x rightwards arrow 3 of 2 x minus 5 plus limit as x rightwards arrow 3 of 3 x squared plus 4 x end cell row blank equals cell open parentheses 2 times 3 minus 5 close parentheses plus open parentheses 3 times open parentheses 3 close parentheses squared plus 4 times 3 close parentheses end cell row blank equals cell 1 plus 39 end cell row blank equals 40 end table end style  

Jadi, begin mathsize 14px style limit as x rightwards arrow 3 of left curly bracket f open parentheses x close parentheses plus g open parentheses x close parentheses right curly bracket equals 40 end style 

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