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Tentukan nilai limit fungsi berikut.

begin mathsize 14px style 3. space limit as x rightwards arrow 9 of space square root of 4 x minus 11 end root end style 

S. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Prof. DR. Hamka

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Pembahasan

Diketahui:

Limit fungsi akar kuadrat.

Substitusi begin mathsize 14px style x end style dengan begin mathsize 14px style 9 end style pada fungsi limit akar kuadrat seperti berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 9 of space square root of 4 x minus 11 end root end cell equals cell square root of 4 open parentheses 9 close parentheses minus 11 end root end cell row blank equals cell square root of 36 minus 11 end root end cell row blank equals cell square root of 25 end cell row blank equals 5 end table end style

Maka, nilai dari begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 9 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 square root of 4 x minus 11 end root 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 5 end table end style.

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