?url_ver=Z39.88-2004&rft_id=1817031093&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=DERET+KEBALIKAN+DARI+POLINOMIAL+KUARTIK+DENGAN+SATU+AKAR+BILANGAN+BULAT+NOL+DAN+TIGA+AKAR+BILANGAN+BULAT+BUKAN+NOL&rft.creator=Bernie%2C++Fitria+Rahma&rft.subject=500+ilmu+pengetahuan+alam+dan+matematika&rft.subject=510+Matematika&rft.description=Penelitian+ini+bertujuan+untuk+mengembangkan+rumus+yang+dapat+digunakan+untuk+menghitung+jumlah+deret+kebalikan+dari+polinomial+kuartik+yang+memiliki+satu+akar+bilangan+bulat+nol+dan+tiga+akar+bilangan+bulat+bukan+nol.+Fokus+utama+dari+studi+ini+adalah+analisis+konvergensi+deret+kebalikan%2C+yang+ditentukan+oleh+perilaku+suku-suku+deret+saat+mendekati+tak+hingga.+Melalui+pendekatan+matematis%2C+penelitian+ini+melakukan+dekomposisi+pecahan+parsial+dan+analisis+jumlah+deret+parsial+yang+dinyatakan+dalam+bentuk+suku+harmonik+dan+harmonik+ternormalisasi.+Metodologi+yang+digunakan+mencakup+perhitungan+nilai+bilangan+harmonik%2C+pembentukan+fraksi+dari+jumlah+parsial%2C+serta+pencarian+nilai+untuk+deret+teleskopik+tak+terhingga.+Hasil+dari+penelitian+ini+menunjukkan+bahwa+jumlah+deret+kebalikan+dari+polinomial+kuartik+dapat+dinyatakan+dalam+rumus+yang+jelas%2C+yang+memungkinkan+perhitungan+yang+lebih+efisien+dan+akurat.%0D%0A%0D%0AKata+Kunci%3A+deret+kebalikan%2C+polinomial+kuartik%2C+akar+bilangan+bulat%2C+konvergensi%2C+jumlah+deret+parsial%2C+bilangan+harmonik%2C+analisis+matematis.%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0Aabstract%0D%0A%0D%0AThis+research+aims+to+develop+a+formula+that+can+be+used+to+calculate+the+sum+of+the+reciprocal+series+of+a+quartic+polynomial+with+one+integer+root+of+zero+and+three+non-zero+integer+roots.+The+main+focus+of+this+study+is+the+analysis+of+the+convergence+of+the+reciprocal+series%2C+which+is+determined+by+the+behavior+of+the+series+terms+as+they+approach+infinity.+Through+a+mathematical+approach%2C+this+research+conducts+partial+fraction+decomposition+and+analysis+of+the+sum+of+partial+series+expressed+in+the+form+of+harmonic+terms+and+normalized+harmonics.+The+methodology+used+includes+the+calculation+of+harmonic+number+values%2C+formation+of+fractions+from+partial+sums%2C+and+the+search+for+values+of+infinite+telescoping+series.+The+results+of+this+research+indicate+that+the+sum+of+the+reciprocal+series+of+a+quartic+polynomial+can+be+expressed+in+a+clear+formula%2C+allowing+for+more+efficient+and+accurate+calculations.%0D%0A%0D%0AKeywords%3A+reciprocals+series%2C+quartic+polynomial%2C+integer+roots%2C+convergence%2C+partial+series+sum%2C+harmonic+numbers%2C+mathematical+analysis.&rft.publisher=FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM+&rft.date=2024-12-19&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F81115%2F1%2FABSTRAK.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F81115%2F2%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F81115%2F3%2FSKRIPSI%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=++Bernie%2C+Fitria+Rahma++(2024)+DERET+KEBALIKAN+DARI+POLINOMIAL+KUARTIK+DENGAN+SATU+AKAR+BILANGAN+BULAT+NOL+DAN+TIGA+AKAR+BILANGAN+BULAT+BUKAN+NOL.++FAKULTAS+MATEMATIKA+DAN+ILMU+PENGETAHUAN+ALAM+%2C+UNIVERSITAS+LAMPUNG.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F81115%2F