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WorksheetsMastery Test: Limits and Continuity
Total questions: 25
Worksheet time: 42mins
Use the table to evaluate the limit of x→7limf(x)
4
3.2
3
3.5
Use the table to evaluate the limit of x→11limf(x)
10
10.3
9.6
11
Evaluate x→−4lim(2x+3)
2
-5
6
11
Evaluate x→−6lim10000
-60000
-6
10000
-10000
Refer to the figure and find f(−3)
0
1
2
undefined
Refer to the figure and find f(4)
0
1
2
undefined
Refer to the figure and find x→0limf(x)
0
1
2
DNE
Refer to the figure and find x→−2limf(x)
0
1
2
DNE
Refer to the figure and determine if it is continuous or disconinuous at the given interval (−∞, 3)
Continuous
Discontinuous
Refer to the figure and determine if it is continuous or disconinuous at the given interval (3, 4]
Continuous
Discontinuous
Refer to the figure and determine if it is continuous or disconinuous at the given interval (2, ∞)
Continuous
Discontinuous
Refer to the figure and determine if it is continuous or disconinuous at the point x=0
Continuous
Discontinuous
Refer to the figure and determine if it is continuous or disconinuous at the point x=4
Continuous
Discontinuous
Refer to the figure and determine if it is continuous or disconinuous at the point x=−3
Continuous
Discontinuous
Evaluate x→ 3πlim−12cos x
6
-6
−12 3
−63
Evaluate the x→−∞lim(x3−25x2+x+111x2+21x−2)
−∞
+∞
0
DNE
Evaluate the x→+∞lim(2x3−25x5+14x3−113x6+x5−9x2+6)
−∞
+∞
0
DNE
Evaluate the x→+∞lim(−4x2+30x4−65x4+9)
−∞
+∞
305
−61
Evaluate x→4lim7x+8
6
-6
36
-36
Evaluate x→1lim(x3+2x+1)(2x−1)
4
3
12
0
Evaluate x→4lim(x2−16x2−4x)
41
4
31
21
Evaluate x→1lim(x−11)(x+21−2x+11)
41
91
31
DNE
Evaluate x→4lim(n−2n−4)
DNE
2
4
81
Evaluate x→0lim(5xsinx)
DNE
0
1
51
What type of discontinuity on the graph at x0 ?
Removable
Jump
Essential
None of the above
