Limits and continuity

2000018703

Level: 
B
The picture shows a graph of a function. Decide at which of the marked points x1, x2, x3 and x4, the left-hand and right-hand limit of the function has the same value. (Note: The dashed lines are asymptotes of the function.)
Only at x1 and x3.
Only at x1.
Only at x3.
The left-hand and right-hand limit is the same at any marked point.

2000018702

Level: 
B
Choose the true statement about the limits of the function whose graph is shown in the picture. (Note: The dashed lines are asymptotes of the function.)
The function has the limit "negative infinity" only at x2 and at "negative infinity" it has the limit a2.
The function has the limit "negative infinity" at x2 and x3 and at "negative infinity" it has the limit a2.
The function has the limit "negative infinity" only at x2 and at "negative infinity" there is no limit.
The function has the limit "negative infinity" at x2 and x3 and at "negative infinity" there is no limit.

2000018701

Level: 
B
The following pictures show graphs of 3 functions. Choose the true statement about the limit at x=3.
The functions f, g, h have the same limit at x=3.
The function g has no limit at x=3.
The function f has no limit at x=3.
The limits of functions f, g, h at x=3 differ.
Only the function h has a limit at x=3.