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Pertanyaan

limit as x rightwards arrow 0 of fraction numerator x squared plus 3 x over denominator sin space x end fraction = ...

Pembahasan Soal:

Pada limit fungsi trigonometri untuk x rightwards arrow 0, berlaku

limit as x rightwards arrow 0 of fraction numerator sin space a x over denominator b x end fraction equals limit as x rightwards arrow 0 of fraction numerator a x over denominator sin space b x end fraction equals a over b  

sehingga penyelesaiannya adalah sebegai berikut :

table attributes columnalign right center left columnspacing 2px end attributes row cell limit as x rightwards arrow 0 of fraction numerator x squared plus 3 x over denominator sin space x end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator x open parentheses x plus 3 close parentheses over denominator sin space x end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator x over denominator sin space x end fraction times limit as x rightwards arrow 0 of x plus 3 end cell row blank equals cell 1 over 1 times left parenthesis 0 plus 3 right parenthesis end cell row blank equals 3 end table 

Jadi nilai dari limit as x rightwards arrow 0 of fraction numerator x squared plus 3 x over denominator sin space x end fraction adalah 3 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 28 Juli 2021

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