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Diketahui suatu fungsi   Tentukan: c.

Pertanyaan

Diketahui suatu fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell negative x plus 1 comma space untuk space x less than 1 end cell row cell x minus 1 comma space untuk space 1 less than x less than 2 end cell row cell 5 minus x squared comma space untuk space straight x greater than 2 end cell end table close end style 

Tentukan: c. begin mathsize 14px style limit as x rightwards arrow 1 of space f left parenthesis x right parenthesis end style 

 

 

  1. ...undefined 

  2. ...undefined 

Pembahasan Soal:

Fungsi begin mathsize 14px style f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell negative x plus 1 comma space untuk space x less than 1 end cell row cell x minus 1 comma space untuk space 1 less than x less than 2 end cell row cell 5 minus x squared comma space untuk space straight x greater than 2 end cell end table close end style

Maka,

begin mathsize 14px style limit as x rightwards arrow 1 to the power of plus of space f left parenthesis x right parenthesis equals limit as x rightwards arrow 1 to the power of plus of x minus 1 equals 1 minus 1 equals 0 limit as x rightwards arrow 1 to the power of minus of space f left parenthesis x right parenthesis equals limit as x rightwards arrow 1 to the power of minus of x minus 1 equals 1 minus 1 equals 0 end style  

Sehingga diperoleh 

begin mathsize 14px style limit as x rightwards arrow 1 to the power of plus of f left parenthesis x right parenthesis equals limit as x rightwards arrow 1 to the power of minus of f left parenthesis x right parenthesis equals limit as x rightwards arrow 1 of f left parenthesis x right parenthesis equals 0 limit as x rightwards arrow 1 of f left parenthesis x right parenthesis equals 0 end style 

 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 11 Februari 2021

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