Ujian Tengah Semester.docx

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UJIAN TENGAH SEMESTER (UTS) Mata Kuliah Jurusan/Semester Kelas Bobot Sifat

: Analisis Real : Tadris Matematika / III :A : 3 sks : Take Home

SOAL 1. Jika c > 1, c  R, tunjukkan bahwa cm  cn untuk setiap m  n dengan m,n  N. 2. Tunjukkan bahwa jika s  R adalah irasional dan r  0 adalah rasional, maka s  r dan s  r adalah irasional 3. Jika a  0, b  0, c  0 tunjukkan bahwa 1/abc = 1/a . 1/b . 1/c 4. Jika a, b R dan a2 + b2 = 0. tunjukkan bahwa a = b = 0.

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