Nilai dari x→0lim​ 5x+32x+4​−2​=....

Pertanyaan

Nilai dari limit as x rightwards arrow 0 of space fraction numerator square root of 2 x plus 4 end root minus 2 over denominator 5 x plus 3 end fraction equals.... 

P. Afrisno

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

diperoleh table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 0 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 2 x plus 4 end root minus 2 over denominator 5 x plus 3 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table.

Pembahasan

Nilai limit fungsi di atas dapat ditentukan secara langsung dengan substitusi sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of space fraction numerator square root of 2 x plus 4 end root minus 2 over denominator 5 x plus 3 end fraction end cell equals cell fraction numerator square root of 2 open parentheses 0 close parentheses plus 4 end root minus 2 over denominator 5 open parentheses 0 close parentheses plus 3 end fraction end cell row blank equals cell fraction numerator square root of 4 minus 2 over denominator 3 end fraction end cell row blank equals cell fraction numerator 2 minus 2 over denominator 3 end fraction end cell row blank equals cell 0 over 3 end cell row blank equals 0 end table 

Dengan demikian, diperoleh table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 0 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 2 x plus 4 end root minus 2 over denominator 5 x plus 3 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table.

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Tentukan nilai limit dari fungsi-fungsi berikut ini: x→1lim​x−1x​−1​

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Jawaban terverifikasi

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