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WorksheetsAdvanced Calculus QBA #2
Total questions: 25
Worksheet time: 2hrs 5mins
Find the limit: x→5lim(2x+1) .
5
11
1
DNE
Find the limit: x→2lim x−2x2−4
4
-2
-4
0
Find the limit: x→4lim 3
4
3
12
DNE
Find the limit: x→4lim x−2x−4
0
4
21
DNE
Find the limit: x→(−2)lim x+2x3−2x2−5x+6
-1
15
0
DNE
Find the limit: x→3lim x−32
+∞
-∞
0
DNE
Find the limit: x→∞lim x−12x
2
1/2
0
DNE
Find the limit: x→(−∞)lim x2+2x−5x−1
1
-1
0
DNE
Using the graph, what is x→2lim f(x) ?
1
0
2
5
Using the graph, what is x→∞lim f(x) ?
+∞
−∞
0
DNE
Using the graph, what is x→(−∞)lim f(x) ?
+∞
−∞
0
DNE
What is the x→(3−)lim f(x) ?
1
-1
0
DNE
What is the x→(3+)lim f(x) ?
1
-1
0
DNE
What is the x→3lim f(x) ?
1
-1
0
DNE
What is the x→(2−)lim f(x) ?
+∞
−∞
0
DNE
What is the x→(2+)lim f(x) ?
+∞
−∞
0
DNE
What is the x→2lim f(x) ?
+∞
−∞
0
DNE
Name the type of discontinuity for the graph of f(x)=x+3x2−9 .
infinite
jump
point
none
Name the type of discontinuity for the graph of f(x) given to the left.
infinite
jump
point
none
Name the type of discontinuity for the graph of f(x)=x−21 .
infinite
jump
point
none
For f(x)=x2−5 find the slope of the secant line over the interval [-1, 2].
-5
2
1
-2
For f(x)=x2−5 find the slope of the tangent line at x = -1.
A) -5
B) 2
C) 1
D) -2
For f(x)=x2−5 find the equation of the tangent line at x = -1.
A) y = -5x + 1
B) y = 2x - 2
C) y = 1x -3
D) y = -2x - 6
For f(x)=x2−5 find the derivative at a general point.
A) 2x
B) -5x
C) x - 5
D) x²
A __________ is a line that hits the edge of a curve at one point.
