Limits and continuity

1003093102

Level: 
B
Which of the statements A, B, C, D, E given bellow are incorrect? A: limx→−∞(3−1x)=3B: limx→−∞(x5−2)=∞C: limx→−∞(0.3⋅2x)=−∞D: limx→∞(0.5x+5)=5E: limx→∞(log12⁡⁡x−x)=0 The only incorrect statements are:
B, C, E
B, D
B, D, E
A, B, C
B, C

1003093101

Level: 
A
Which of the statements A, B, C, D, E given bellow are correct? A: limx→1+⁡2xx−1=∞B: limx→−2+⁡x+1x+2=−∞C: limx→3−x+13−x=−∞D: limx→−1+xx2−1=∞E: limx→2−x+34−x2=∞ The only correct statements are:
A, B, D, E
A, B, D
A, D, E
A, B, C, E
A, B, C
B, D, E

1003085507

Level: 
B
Decide which of the following functions do not have points of discontinuity. f1(x)={x2if x≤12x if x>1f2(x)={x2−2xif x<−13xif x≥−1f3(x)={3−xif x≤2(x−1)2if x>2f4(x)={x2−2x+1if x<1x−1if x≥1 The only such functions are:
f3, f4
f2, f3, f4
f2, f3
f3