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Diketahui   Tentukan nilai limit fungsi-fungsi berikut! a.   b.   c.

Pertanyaan

Diketahui f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell 3 x minus 5 space untuk space x greater or equal than 3 end cell row cell x squared minus x minus 2 space untuk space less than 3 end cell end table close 

Tentukan nilai limit fungsi-fungsi berikut!

a. limit as x rightwards arrow 7 of f left parenthesis x right parenthesis 

b. limit as x rightwards arrow 3 of f left parenthesis x right parenthesis 

c. limit as x rightwards arrow negative 2 of f left parenthesis x right parenthesis 

 

Pembahasan Soal:

a. limit as x rightwards arrow 7 of f left parenthesis x right parenthesis 

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 7 of 3 x minus 5 end cell equals cell 3 left parenthesis 7 right parenthesis minus 5 end cell row blank equals cell 21 minus 5 end cell row blank equals 16 end table 

b. limit as x rightwards arrow 3 of f left parenthesis x right parenthesis 

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 of 3 x minus 5 end cell equals cell 3 left parenthesis 3 right parenthesis minus 5 end cell row blank equals cell 9 minus 5 end cell row blank equals 4 end table  

c. limit as x rightwards arrow negative 2 of f left parenthesis x right parenthesis 

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow negative 2 of x squared minus x minus 2 end cell equals cell left parenthesis negative 2 right parenthesis squared minus 2 minus 2 end cell row blank equals cell 4 minus 2 minus 2 end cell row blank equals 0 end table 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Mei 2021

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