Roboguru

Pertanyaan

begin mathsize 14px style limit as x rightwards arrow 1 of space fraction numerator open parentheses x squared minus 1 close parentheses space tan space 2 open parentheses x minus 1 close parentheses over denominator sin squared space open parentheses 2 x minus 2 close parentheses end fraction end style  

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of space fraction numerator left parenthesis x squared minus 1 right parenthesis space tan space 2 left parenthesis x minus 1 right parenthesis over denominator sin squared space left parenthesis 2 x minus 2 right parenthesis end fraction end cell equals cell limit as x rightwards arrow 1 of space fraction numerator open parentheses x plus 1 close parentheses open parentheses x minus 1 close parentheses space tan space 2 left parenthesis x minus 1 right parenthesis over denominator sin space 2 open parentheses x minus 1 close parentheses space times space sin space 2 left parenthesis x minus 1 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 1 of space fraction numerator left parenthesis x plus 1 right parenthesis left parenthesis x minus 1 right parenthesis space times space 2 left parenthesis x minus 1 right parenthesis over denominator 2 left parenthesis x minus 1 right parenthesis space times space 2 left parenthesis x minus 1 right parenthesis end fraction space times space fraction numerator space tan space 2 left parenthesis x minus 1 right parenthesis over denominator 2 open parentheses x minus 1 close parentheses end fraction space times space fraction numerator 2 left parenthesis x minus 1 right parenthesis over denominator sin space 2 left parenthesis x minus 1 right parenthesis end fraction space times space fraction numerator 2 left parenthesis x minus 1 right parenthesis over denominator sin space 2 left parenthesis x minus 1 right parenthesis end fraction end cell row blank equals cell limit as x rightwards arrow 1 of space fraction numerator left parenthesis x plus 1 right parenthesis over denominator 2 end fraction space times space fraction numerator space tan space 2 left parenthesis x minus 1 right parenthesis over denominator 2 left parenthesis x minus 1 right parenthesis end fraction space times space fraction numerator 2 left parenthesis x minus 1 right parenthesis over denominator sin space 2 left parenthesis x minus 1 right parenthesis end fraction space times space fraction numerator 2 left parenthesis x minus 1 right parenthesis over denominator sin space 2 left parenthesis x minus 1 right parenthesis end fraction end cell row blank equals cell fraction numerator left parenthesis 1 plus 1 right parenthesis over denominator 2 end fraction space times space 1 space times space 1 space times space 1 end cell row blank equals cell 2 over 2 end cell row blank equals 1 end table end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 Maret 2021

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