Page 6 - TUTORIAL MATEMATIKA IPA SEMESTER 2
P. 6
LIMIT FUNGSI ALJABAR
2
4
(| |−1) −(| |−1) 2 (| |−1) −(| |−1) 4
23. lim = maka lim = ⋯
2
→ − 2 → −
4
2
24. lim ( ) = 5 , lim ( ) = 16 , lim{3 ( ) + √ ( )} = ⋯
→ → →
2
25. Diketahui ( ) = + dan (2 ) − ( ) = 3. Jika lim ( ) = 2 maka a + b = ...
→1 −1
1 1 2 1 2
26. lim { ( ) + } = 4 , lim { ( ) − } = −3 maka lim {( ( )) + ( ) } = ⋯
→ ( ) → ( ) → ( )
1 + 1
1
27. lim 3 = − maka 2a + b = ...
3
→−3 +27 3 5
+ −√ 3
28. lim = maka a + b = ...
→4 −4 4
2
29. lim + + = −4 maka a.b = ...
2
→−1 +3 +2
√ +6−3
30. lim = ⋯
2
→3 +3 −18
√ −√2
31. lim = ⋯
→2 √ +2−2
√2 −3−√ −1
32. lim = ⋯
2
→2 √ +1−√ +3
√5+√ −√5−√
33. lim = ⋯
→0 √
2
−1
34. lim = ⋯
3
3
→1 √ −√2 − 2
1 − 1
35. lim √1+ 3 = ⋯
→8 −8
(2 −3√ +1)(√ −1)
36. lim = ⋯
→1 ( −1) 2
(√5− −2)(√2− +5)
37. lim = ⋯
→1 1−
1 1
2 2
( + ) − 2
38. lim 3 = ⋯
→0 2
2 2
39. lim ( + ) (√ + 16 − 4) = ⋯
→0 √
√ + −√ − √ + −√ −
40. lim = , lim = ⋯
→0 →0
√ + −√ − 1
41. lim = maka a + b = ...
→3 √ −2−√4− 2
4
2
3
5 +2 −4 +1
42. lim = ⋯
2
3
4
→∞ 4 −2 + −5
2
5
+27−3 +6
43. lim = ⋯
2
3
4
→∞ 4 +3 − −5
2
4
3
7 +5 −3 +2 −4
44. lim = ⋯
3
2
5
→∞ 4 − +7 −5
3
(2 +1) ( −5) 2
45. lim = ⋯
2
2
→∞ ( +3) (10 +3)
+3 2 +5
46. lim ( − ) = ⋯
→∞ 2 −1 −7
2
√4 −5 +3−4√ 2
47. lim = ⋯
→∞ 2 +125
5 +1 +2 −3
48. lim = ⋯
→∞ 5 +2 −2 +1 +4
1
3
49. lim (5 + 5 ) = ⋯
→∞
‘LEARNING IS FUN’ 5
