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WorksheetsLimits
Total questions: 16
Worksheet time: 1hrs 15mins
Define a limit
The value of a function at a certain x-value
The value of x when a function hits a certain point
The value a function approaches when x approaches a certain value
x→0 lim x2−x−6x2−9
No Limit because it is undefined
3/2
-3/2
2/3
x→3lim x2−x−6x2−9
no limit because it is undefined
3/2
6/5
5/6
1/12
-1/12
no limit because it is undefined
0
x→−3lim ∣5x+1∣
no limit because the one sided limits are not equal
14
-14
0
x→4lim xx2−7
211
9/4
3/2
no limit
x→7lim 2x−14 by looking at the graph
no limit because there is no left hand limit
0
28
1
x→2lim x2−4x−2
1/4
1/2
-1/4
no limit
x→−1lim x+13x by making a chart. Include values of -1.001 and -.999
300
-300
no limit because the one sided limits are not equal
0
x→1lim x2−4x−5x2−25
no limit
-3
-2
3
using your calculator to graph: x→1−lim 3−3x *Notice the symbol beside the 1**
no limit
0
using your calculator to graph: x→1+lim 3−3x
**Notice the symbol beside the 1**
no limit
0
using your calculator to graph: x→1lim 3−3x
no limit
0
Graph x→∞lim x−2−x
no limit
∞
0
−∞
x→ 4πlim 8 + tanxcscx + 4
942
94+2
no limit
4/9
x→πlim sin(x − 32π)
22
2−3
23
1/2
