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Diketahui . Nilai limit berikut yang benaradalah ....

Diketahui begin mathsize 14px style limit as x rightwards arrow a of f open parentheses x close parentheses equals 12 blank dan blank limit as x rightwards arrow a of g open parentheses x close parentheses equals 2 end style. Nilai limit berikut yang benar adalah ....        space 

  1. begin mathsize 14px style limit as x rightwards arrow a of left square bracket g open parentheses x close parentheses minus f open parentheses x close parentheses right square bracket equals 10 end style   undefined 

  2. begin mathsize 14px style limit as x rightwards arrow a of open square brackets fraction numerator 4 cross times g open parentheses x close parentheses over denominator f open parentheses x close parentheses end fraction close square brackets equals 1 third end style   undefined 

  3. begin mathsize 14px style limit as x rightwards arrow a of left square bracket g open parentheses x close parentheses squared right square bracket equals 144 end style  space 

  4. begin mathsize 14px style limit as x rightwards arrow a of left square bracket f open parentheses x close parentheses squared minus 4 g open parentheses x close parentheses right square bracket equals 140 end style  undefined 

  5. begin mathsize 14px style limit as x rightwards arrow a of left square bracket f open parentheses x close parentheses squared minus g open parentheses x close parentheses squared right square bracket equals 140 end style  space 

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Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepatadalah E.

jawaban yang tepat adalah E. 

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Pembahasan

Pembahasan
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Untuk pilihan A. Untuk pilihan B. Untuk pilihan C. Untuk pilihan D. Untuk pilihan E. Jadi, jawaban yang tepatadalah E.

Untuk pilihan A.

begin mathsize 14px style limit as x rightwards arrow a of left square bracket g open parentheses x close parentheses minus f open parentheses x close parentheses right square bracket equals limit as x rightwards arrow a of g open parentheses x close parentheses minus limit as x rightwards arrow a of f open parentheses x close parentheses equals 2 minus 12 equals negative 10 end style 

Untuk pilihan B.

begin mathsize 14px style limit as x rightwards arrow a of open square brackets fraction numerator 4 g open parentheses x close parentheses over denominator f open parentheses x close parentheses end fraction close square brackets equals fraction numerator 4 cross times limit as x rightwards arrow a of g open parentheses x close parentheses over denominator limit as x rightwards arrow a of f open parentheses x close parentheses end fraction equals fraction numerator 4 cross times 2 over denominator 12 end fraction equals 8 over 12 equals 2 over 3 end style 

Untuk pilihan C.

begin mathsize 14px style limit as x rightwards arrow a of open square brackets g open parentheses x close parentheses squared close square brackets equals open parentheses limit as x rightwards arrow a of g open parentheses x close parentheses close parentheses squared equals 2 squared equals 4 end style 

Untuk pilihan D.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow a of left square bracket f open parentheses x close parentheses squared minus 4 g open parentheses x close parentheses right square bracket end cell equals cell limit as x rightwards arrow a of f left parenthesis x right parenthesis squared minus stack lim with x rightwards arrow a below blank 4 g left parenthesis x right parenthesis end cell row blank equals cell 12 squared minus 4 cross times 2 end cell row blank equals 136 end table end style 

Untuk pilihan E.

begin mathsize 14px style limit as x rightwards arrow a of open square brackets f open parentheses x close parentheses squared minus g open parentheses x close parentheses squared close square brackets equals limit as x rightwards arrow a of f open parentheses x close parentheses squared minus limit as x rightwards arrow a of g open parentheses x close parentheses squared equals 12 squared minus 2 squared equals 140 blank end style 

Jadi, jawaban yang tepat adalah E. 

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Regina Apriani

Mudah dimengerti

Luluk Suci Ramandhani

Pembahasan lengkap banget

Ramaniya Pyarkushi Angwida

Makasih ❤️

Siti Hawa

Pembahasan lengkap banget

Neysa Azzahra

Pembahasan lengkap banget

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Pertanyaan serupa

Jika L , K adalah bilangan real dan x → c lim ​ f ( x ) = L , x → c lim ​ g ( x ) = K maka tentukan x → c lim ​ f 2 ( x ) + L 2 f 2 ( x ) − L 2 ​ !

9

4.9

Jawaban terverifikasi

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