Soal 1. limx→3x2−9√10+2x−x−1=...
limx→3x2−9√10+2x−x−1limx→3x2−9√10+2x−(x+1)Kalikan akar sekawanlimx→3x2−9√10+2x−(x+1).√10+2x+(x+1)√10+2x+(x+1)limx→3x2−99−x2=−1
Soal 2. limx→∞√25x2−9x+6−5x+1=...
limx→∞√25x2−9x+6−5x+1=limx→∞√25x2−9x+6−(5x−1)limx→∞√25x2−9x+6−√(5x−1)2limx→∞√25x2−9x+6−√25x2−10x+1
Penyelesaian
b−q2√a−9−(−10)2√25=110
Soal 3. limx→∞√4x2−2x+1+√x2+x+6−3x+6=...
limx→∞√4x2−2x+1+√x2+x+6−3x+6limx→∞√4x2−2x+1+√x2+x+6−2x−x+6limx→∞√4x2−2x+1+√x2+x+6+6limx→∞√4x2−2x+1−√4x2+√x2+x+6−√x2+6−2−02√4+1−0√1+6=6,5
Soal 4. limx→1(x2−1)sin2(x−1)−2sin2(x−1)=...
limx→1(x2−1)sin2(x−1)−2sin2(x−1)limx→1(x−1)(x+1)sin2(x−1)−2sin(x−1)sin(x−1)limx→1(x+1)2−2=−2
Soal 5. limx→2x3−4xx−2=...
limx→2x3−4xx−2limx→2x(x−2)(x+2)x−2limx→2x(x+2)=8
Soal 6. limx→02xsin3x1−cos6x=...
limx→02xsin3x1−cos6xlimx→02xsin3x1−(1−2sin23x)limx→02xsin3x2sin3xsin3x=13
Soal 7. limx→01−cos2xxtan12x=...
limx→01−cos2xxtan12xlimx→01−(1−2sin2x)xtan12xlimx→02sinxsinxxtan12x=4
Soal 8. limx→0cos2xcosx−sinx=...
limx→0cos2xcosx−sinxlimx→0cos2x−sin2xcosx−sinxlimx→0(cosx−sinx)(cosx+sinx)cosx−sinxlimx→0(cosx+sinx)=1
Soal 9. limx→05xtanx1−cos6x=...
limx→05xtanx1−cos6xlimx→05xtanx1−(1−2sin23x)limx→05xtanx2sin3xsin3x=518
Soal 10. limx→0cos4x−1cosx−1=...
limx→0cos4x−1cosx−1limx→0cos4x−cos0cosx−cos0limx→0−2sin2xsin2x−2sin12xsin12x=8
Soal 11. limx→0cos5x−cosxcos3x−cosx=...
limx→0cos5x−cosxcos3x−cosxlimx→0−2sin3xsin2x−2sin2xsinx=3
Soal 12 limx→0sin3x+sinxtan3x=...
limx→0sin3x+sinxtan3xlimx→0sin2x.cosxtan3xlimx→03.cosx3=23
Soal 13 . limx→0sin2x−1sin10x−1=...
Turunkan pembilang dan penyebut.
limx→0sin2x−1sin10x−1limx→02cos2x10cos10x=15
Catatan lain:
Anda harus ingat rumus penjumlahan trigonometri

limx→0tanaxtanbxlimx→0tanaxsinbxlimx→0sinaxtanbxlimx→0sinaxbxlimx→0sinaxsinbxlimx→0axsinbxNilainya: ab
Jadilah Komentator Pertama untuk "Bank Soal Limit Aljabar dan Trigonometri"
Post a Comment