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Diketahui f ( x ) sebagai berikut: f ( x ) = { x 2 − 1 , untuk x < − 2 − 2 x − 1 , untuk x > − 2 ​ Nilai x → − 2 lim ​ f ( x ) = ...

Diketahui  sebagai berikut:

 

Nilai  ...

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N. Puspita

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Fungsi Maka, Karena , maka .

Fungsi begin mathsize 14px style f open parentheses x close parentheses equals open curly brackets table attributes columnalign left end attributes row cell x squared minus 1 comma space untuk space x less than negative 2 end cell row cell negative 2 x minus 1 comma space untuk space x greater than negative 2 end cell end table close end style

Maka,

begin mathsize 14px style table attributes columnalign right center center center left end attributes row cell limit as x rightwards arrow negative 2 to the power of minus of space f open parentheses x close parentheses end cell equals cell limit as x rightwards arrow negative 2 to the power of minus of space x squared minus 1 end cell equals cell open parentheses negative 2 close parentheses squared minus 1 end cell row space space space equals cell 4 minus 1 end cell row space space space equals 3 end table end style

begin mathsize 14px style table attributes columnalign center center center center left end attributes row cell limit as x rightwards arrow negative 2 to the power of plus of space f open parentheses x close parentheses end cell equals cell limit as x rightwards arrow negative 2 to the power of plus of space minus 2 x minus 1 end cell equals cell negative 2 open parentheses negative 2 close parentheses minus 1 end cell row space space space equals cell 4 minus 1 end cell row space space space equals 3 end table end style

Karena begin mathsize 14px style limit as x rightwards arrow negative 2 to the power of minus of space f open parentheses x close parentheses equals limit as x rightwards arrow negative 2 to the power of plus of space f open parentheses x close parentheses equals 3 end style, maka begin mathsize 14px style limit as x rightwards arrow negative 2 of space f open parentheses x close parentheses equals 3 end style.

 

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