Math Quiz: Take The Limits And Continuity Assessment Test
10 Questions
| Total Attempts: 117
A limit is a number that a function approaches as the autonomous variable of the function approaches a given value. Take this assessment test to evaluate your insight.
Questions and Answers
- 1.
![Evaluate the limit ( x – 4 ) / (x2 – x – 12) as x approaches 4.
- ProProfs]( "Evaluate the limit ( x – 4 ) / (x2 – x – 12) as x approaches 4.")
Evaluate the limit ( x – 4 ) / (x2 – x – 12) as x approaches 4.- A.
0
- B.
Infinity
- C.
1/7
- D.
Undefined
- 2.
![Differentiate the equation y = x2 / (x +1). - ProProfs]( "Differentiate the equation y = x2 / (x +1).")
Differentiate the equation y = x2 / (x +1).- A.
2x
- B.
(x2 + 2x) / (x + 1)2
- C.
x / (x + 1)
- D.
(2×2) / (x + 1)
- 3.
![Evaluate the limit (1n x ) / x as x approaches positive infinity. - ProProfs]( "Evaluate the limit (1n x ) / x as x approaches positive infinity.")
Evaluate the limit (1n x ) / x as x approaches positive infinity.- A.
1
- B.
0
- C.
E
- D.
Infinity
- 4.
![Differentiate (x2 + 2)1/2. - ProProfs]( "Differentiate (x2 + 2)1/2.")
Differentiate (x2 + 2)1/2.- A.
(x2 + 2)1/2) / 2
- B.
x / (x2 + 2)1/2
- C.
(2x) / (x2 + 2)1/2
- D.
(x2 + 2)3/2
- 5.
![Locate the points of inflection of the curve y = f(x) = x2 ex. - ProProfs]( "Locate the points of inflection of the curve y = f(x) = x2 ex.")
Locate the points of inflection of the curve y = f(x) = x2 ex.- A.
-2 ± √2
- B.
2 ± √2
- C.
2 ± √3
- D.
2 ± √3
- 6.
![Differentiate y = sec (x2 + 2). - ProProfs]( "Differentiate y = sec (x2 + 2).")
Differentiate y = sec (x2 + 2).- A.
2x cos (x2 + 2)
- B.
–cos (x2 + 2) cot (x2 + 2)
- C.
2x sec (x2 + 2) tan (x2 + 2)
- D.
Cos (x2 +2)
- 7.
![If y=xsinx, find dx/dy. - ProProfs]( "If y=xsinx, find dx/dy.")
If y=xsinx, find dx/dy.- A.
Sinx - cosx
- B.
Cosx - xsinx
- C.
Cosx + xsinx
- D.
Sinx + xcox
- 8.
![A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)? - ProProfs]( "A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?")
A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?- A.
y=3/2x2 + 2x
- B.
Y=3/2x2 + x
- C.
Y=3x2 + x/2
- D.
y=3x2 + 2x
- 9.
![Find dy/dx if y = 52x-1. - ProProfs]( "Find dy/dx if y = 52x-1.")
Find dy/dx if y = 52x-1.- A.
52x-1 ln 5
- B.
52x-1 ln 25
- C.
52x-1 ln 10
- D.
52x-1 ln 2
- 10.
![Find the point in the parabola y2 = 4x at which the rate of change of the ordinate and abscissa are equal. - ProProfs]( "Find the point in the parabola y2 = 4x at which the rate of change of the ordinate and abscissa are equal.")
Find the point in the parabola y2 = 4x at which the rate of change of the ordinate and abscissa are equal.- A.
(4,4)
- B.
(2, 1)
- C.
(1,2)
- D.
(-1, 4)
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