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Question 1 of 6
Incorrect
A limit is the value that a function approaches
Substitute the limit to the variable x
This means that the limit of x as it approaches 1 is 2.
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Question 2 of 6
Incorrect
A limit is the value that a function approaches
First, simplify the equation
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x2-4x-2 |
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= |
(x-2)(x+2)x-2 |
Factorize |
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= |
x+2 |
x-2x-2=1 |
Substitute the limit to the variable x
This means that the limit of x as it approaches 2 is 4.
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Question 3 of 6
Incorrect
A limit is the value that a function approaches
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2x+4x+2 |
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= |
2(x+2)x+2 |
Factorize |
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= |
2 |
x+2x+2=1 |
This means that the limit of x as it approaches -2 is 2.
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Question 4 of 6
Incorrect
A limit is the value that a function approaches
First, simplify the equation
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x2-9x-3 |
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= |
(x-3)(x+3)x-3 |
Factorize |
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= |
x+3 |
x-3x-3=1 |
Substitute the limit to the variable x
This means that the limit of x as it approaches 3 is 6.
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Question 5 of 6
Evaluate
limx→∞2x2-5x+73x2-4x+2
Write your answer in the form of “a/b”
Incorrect
A limit is the value that a function approaches
First, divide the whole expression by the highest power, which is x2
2x2-5x+73x2-4x+2÷x2 |
= |
2x2x2−5xx2+7x23x2x2−4xx2+2x2 |
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= |
2−5x+7x23−4x+2x2 |
Evaluate |
Since the limit is infinite, the denominator x will keep on increasing and the fraction will keep getting smaller
Hence, the fractions will be approaching 0
5x |
→ |
0 |
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7x2 |
→ |
0 |
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4x |
→ |
0 |
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2x2 |
→ |
0 |
Substitute these values to the equation
This means that the limit of x as it approaches ∞ is 23.
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Question 6 of 6
Evaluate
limx→∞x2-2x+13x2-2
Write your answer in the form of “a/b”
Incorrect
A limit is the value that a function approaches
First, divide the whole expression by the highest power, which is x2
2x2-5x+73x2-4x+2÷x2 |
= |
x2x2−2xx2+1x23x2x2−2x2 |
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= |
1−2x+1x23−2x2 |
Evaluate |
Since the limit is infinite, the denominator x will keep on increasing and the fraction will keep getting smaller
Hence, the fractions will be approaching 0
Substitute these values to the equation
This means that the limit of x as it approaches ∞ is 13.