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Nilai dari: x → ∞ lim ​ x 2 − 4 x + 5 ​ − 4 x 2 − 2 ​ = ....

Nilai dari:  

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N. Puspita

Master Teacher

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ii, Nilai dari .

ii, Nilai dari begin mathsize 14px style limit as straight x rightwards arrow infinity of square root of straight x squared minus 4 straight x plus 5 end root minus square root of 4 straight x squared minus 2 end root equals negative infinity end style

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Dengan menerapkan konsep limit tak hingga: Jika: Maka: Diketahui: Nilai: dan sehingga diperoleh , Kesimpulan: Jadiii, Nilai dari .

Dengan menerapkan konsep limit tak hingga:

Jika: 

begin mathsize 14px style limit as straight x rightwards arrow infinity of square root of ax squared plus bx plus straight c end root minus square root of px squared plus qx plus straight r end root equals straight L end style  

Maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight L 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 cell infinity space end cell left right double arrow cell straight a greater than straight p end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight L 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 cell negative infinity end cell left right double arrow cell straight a less than straight p end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight L 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 cell fraction numerator straight b minus straight q over denominator 2 square root of straight a end fraction end cell left right double arrow cell straight a equals straight p end cell end table end style  

Diketahui: begin mathsize 14px style limit as straight x rightwards arrow infinity of square root of straight x squared minus 4 straight x plus 5 end root minus square root of 4 straight x squared minus 2 end root equals.... end style

Nilai: begin mathsize 14px style straight a equals 1 end style dan begin mathsize 14px style straight p equals 4 end style sehingga diperoleh begin mathsize 14px style straight a less than straight p end style

Kesimpulan: begin mathsize 14px style limit as straight x rightwards arrow infinity of square root of straight x squared minus 4 straight x plus 5 end root minus square root of 4 straight x squared minus 2 end root equals negative infinity end style 

Jadiii, Nilai dari begin mathsize 14px style limit as straight x rightwards arrow infinity of square root of straight x squared minus 4 straight x plus 5 end root minus square root of 4 straight x squared minus 2 end root equals negative infinity end style

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Dwi putri Mauriska Jannah

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Abinanta Maheswara

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