Roboguru

Tentukan nilai  = ...

Pertanyaan

Tentukan nilai limit as x rightwards arrow 1 of open parentheses x squared plus 6 x minus 7 close parentheses = ...

Pembahasan Soal:

Perhatikan perhitungan berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 1 of open parentheses x squared plus 6 x minus 7 close parentheses end cell equals cell 1 squared plus 6 times 1 minus 7 end cell row blank equals cell 1 plus 6 minus 7 end cell row blank equals 0 end table

Jadi, nilai limit as x rightwards arrow 1 of open parentheses x squared plus 6 x minus 7 close parentheses adalah 0.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

N. Ayu

Mahasiswa/Alumni Universitas Negeri Padang

Terakhir diupdate 06 Juni 2021

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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Pertanyaan yang serupa

Nilai  adalah...

Pembahasan Soal:

Dengan menggunakan konsep dasar limit diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 5 of left parenthesis 3 x squared minus 15 x plus 10 right parenthesis end cell equals cell 3 open parentheses 5 close parentheses squared minus 15 open parentheses 5 close parentheses plus 10 end cell row blank equals cell 3 open parentheses 25 close parentheses minus 75 plus 10 end cell row blank equals cell 75 minus 75 plus 10 end cell row blank equals 10 end table end style

Dengan demikian nilai dari begin mathsize 14px style limit as x rightwards arrow 5 of left parenthesis 3 x squared minus 15 x plus 10 right parenthesis end style adalah begin mathsize 14px style 10 end style.

1

Roboguru

Nilai  adalah ....

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 5 of left parenthesis 3 x squared minus 15 x plus 10 right parenthesis end cell equals cell 3 open parentheses 5 close parentheses squared minus 15 open parentheses 5 close parentheses plus 10 end cell row blank equals cell 75 minus 75 plus 10 end cell row blank equals 10 end table end style 

0

Roboguru

Tentukan nilai imit fungsi aljabar di bawah ini.  b.

Pembahasan Soal:

0

Roboguru

Pembahasan Soal:

Tips : hindari pembagian begin mathsize 14px style 0 over 0 end style atau nilai tak tentu.

Langkah 1 : gunakan konsep rasionalisasi akar.

Langkah 2 : substitusikan begin mathsize 14px style x equals 4 end style.

table attributes columnalign right center left columnspacing 0px end attributes row cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px 4 size 14px minus size 14px x over denominator size 14px 5 size 14px minus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root end fraction end cell size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px 4 size 14px minus size 14px x over denominator size 14px 5 size 14px minus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root end fraction size 14px cross times fraction numerator size 14px 5 size 14px plus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root over denominator size 14px 5 size 14px plus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px left parenthesis size 14px 4 size 14px minus size 14px x size 14px right parenthesis begin mathsize 14px style left parenthesis 5 plus square root of x squared plus 9 end root right parenthesis end style over denominator size 14px 25 size 14px minus size 14px left parenthesis size 14px x to the power of size 14px 2 size 14px plus size 14px 9 size 14px right parenthesis end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px left parenthesis size 14px 4 size 14px minus size 14px x size 14px right parenthesis size 14px left parenthesis size 14px 5 size 14px plus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root size 14px right parenthesis over denominator size 14px 16 size 14px minus size 14px x to the power of size 14px 2 end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px left parenthesis size 14px 4 size 14px minus size 14px x size 14px right parenthesis size 14px left parenthesis size 14px 5 size 14px plus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root size 14px right parenthesis over denominator size 14px left parenthesis size 14px 4 size 14px minus size 14px x size 14px right parenthesis size 14px left parenthesis size 14px 4 size 14px plus size 14px x size 14px right parenthesis end fraction end cell row blank size 14px equals cell size 14px lim with size 14px x size 14px rightwards arrow size 14px 4 below fraction numerator size 14px left parenthesis size 14px 5 size 14px plus square root of size 14px x to the power of size 14px 2 size 14px plus size 14px 9 end root size 14px right parenthesis over denominator size 14px left parenthesis size 14px 4 size 14px plus size 14px x size 14px right parenthesis end fraction end cell row blank size 14px equals cell fraction numerator size 14px left parenthesis size 14px 5 size 14px plus square root of size 14px 4 to the power of size 14px 2 size 14px plus size 14px 9 end root size 14px right parenthesis over denominator size 14px left parenthesis size 14px 4 size 14px plus size 14px 4 size 14px right parenthesis end fraction end cell row blank size 14px equals cell size 14px 10 over size 14px 8 end cell row blank size 14px equals cell size 14px 5 over size 14px 4 end cell end table 

0

Roboguru

Tentukan limit fungsi dari: 6.

Pembahasan Soal:

begin mathsize 14px style limit as x rightwards arrow 2 of space 3 x squared minus 2 x plus 7 equals 3 open parentheses 2 close parentheses squared minus 2 open parentheses 2 close parentheses plus 7 equals 3 open parentheses 4 close parentheses minus 4 plus 7 equals 12 minus 4 plus 7 equals 15 end style 

Jadi, hasilnya adalah begin mathsize 14px style 15 end style.

0

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

Tapi Roboguru masih mau belajar. Menurut kamu pembahasan kali ini sudah membantu, belum?

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