This document contains 5 limit calculation problems: 1) Finding the limit as x approaches infinity of the fraction x5-2x4+3x2-2 over 3x5-2x+1. 2) Finding the limit as x approaches 2 of the difference of two fractions. 3) Finding the limit as x approaches 1 of the difference of two fractions. 4) Finding the limit as x approaches 4 of the fraction x-4 over 1-√x-3. 5) Finding the limit as x approaches 1 of the fraction x2-5x+4 over x3-1.

1. Latihan Soal Limit Aljabar 1
1. Nilai lim
𝑥→∞
𝑥5−2𝑥4+3𝑥2−2
3𝑥5−2𝑥+1
= ⋯
A. -3 B. -2 C. 1
3
D.
2
3
E. 3
2. Nilai lim
𝑥→2
( 6−𝑥
𝑥2−4
− 1
𝑥−2
) = ⋯
A.−
1
2
B. −
1
4
C. 0 D. 1
4
E. 1
2
3. Nilai lim
𝑥→1
( 1
2𝑥−2
− 1
𝑥2−1
) = ⋯
A. −
1
2
B. −
1
4
C. 0 D. 1
4
E. 1
2
4. Nilai lim
𝑥→4
𝑥−4
1−√ 𝑥−3
= ⋯
A. 2 B. 1
2
C. 0 D. -1 E. -2
5. Nilai lim
𝑥→1
𝑥2−5𝑥+4
𝑥3−1
= ⋯
A. 3 B. 21
2
C. 2 D. 1 E. -1