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Questions and Answers
What is the total number of questions in the Mathematics Single Correct section?
What is the total number of questions in the Mathematics Single Correct section?
- 30
- 40
- 10
- 20 (correct)
What are the marks awarded for a correct answer in the Mathematics section?
What are the marks awarded for a correct answer in the Mathematics section?
- 4 marks (correct)
- 1 mark
- 5 marks
- 2 marks
What is the duration allotted for the test?
What is the duration allotted for the test?
- 90 minutes
- 75 minutes (correct)
- 120 minutes
- 60 minutes
How many marks are deducted for an incorrect answer in the Mathematics Single Correct section?
How many marks are deducted for an incorrect answer in the Mathematics Single Correct section?
Which statement about the Mathematics Numerical section is correct?
Which statement about the Mathematics Numerical section is correct?
Flashcards
Limit
Limit
The process of finding a specific value, known as the 'limit', that a function approaches as the input approaches a certain value.
What is a Limit?
What is a Limit?
A limit is a specific value that a function approaches as the input approaches a certain value. It's like a destination on a journey, and the function is the vehicle.
Input Value in a Limit
Input Value in a Limit
In a limit problem, the input value is approaching a specific value. It is like the vehicle getting closer and closer to the final destination.
Limit Value
Limit Value
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Limit Does Not Exist
Limit Does Not Exist
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Study Notes
Instructions and Test Details
- A 75-minute chapter test on Limits is scheduled for Friday, July 15th.
- The test includes 30 questions, combining multiple-choice and numerical questions.
- Time allocation for the test is 75 minutes.
- Total marks for the exam are 100.
Marking Scheme
- Mathematics Single Correct:
- 4 marks for a correct answer.
- -1 mark for an incorrect answer.
- 0 marks for no response.
- Mathematics Numerical:
- Maximum attempts in this section are 5 questions.
- 4 marks for a correct answer.
- -1 mark for an incorrect answer.
- 0 marks for no response.
Example Questions (Mathematics Single Correct)
- Question 1: Find limx→0 (tan12x)/x2. Possible answers are 0, 1, 3, ∞
- Question 2: Evaluate limx→0 [(2×tan2x - 2xtanx)/(1-cos2x)2]. Possible answers are -2, 1/2, 1, 2.
- Question 3: Determine limx→∞(√x + √x + √x - √x). Possible answers are 0, 1, log2, none of these.
- Question 4: Calculate limx→0 [(|3x + 4|2 - (2 - √x)2)/x]. Possible answers are 5, 2, 0, 10.
- Question 5: If limx→∞ f(x) exists and is finite and limx→∞ (3f(x) -1)/(f(x) + 3f(x)) = 3, find the value of limx→∞ f(x). Possible answers are 1, -1, 2, none of these.
- Question 6: Evaluate limx→∞ [(x3 - x)/(√(1 + x6))]. Possible answers are -1, 0, 1, 3.
- Question 7: Determine limx→0 [log(1 + 2x) + 1]/x2. Possible answers are 1/2, 2, 1, none of these.
- Question 8: Calculate limx→0 [sin(cos2x)] /x2. Possible answers are π, π/2, 1.
- Question 9: Evaluate limx→2 [(cos2x + sin2x - 1)/(x - 2)]. Possible answers are 0, non existence and more.
- **Question 10:**Find the value of limx→0 [(sin-1(1 / x))/(2x)]1/(1 + x2. Possibile answers are 1, 2, does not exist, more.
- Question 11: Evaluate limx→0[√(1 - cos2x)]/x. Possible answers are -1, 0, 1 and more
Example Questions (Mathematics Numerical)
- Question 1: Given f(x) is a polynomial. If f(x)f(1/x) = f(x) + f(1/x), and f(2) > 1, find limx→1 f(x).
- Question 2: Find limx→1-[ sin-1(2x - 1)/(x - 1)].
- Question 3: Determine limn→∞ [(12/n2) + (22/n2) +....(n2/n2)].
- Question 4: If limx→∞ [(√(ax2 - x + 1)) / (ax)] = 0, what is the value of 'a' and 'b'?
- Question 5: Let f : R → R+ be a positive increasing function with limx→∞ f(x)/f(3x) / f(2x)/f(x) = 1. Find limx→∞ f(x). This is important and will be on the exam
- Question 6: Find all values of a such that limx→a [(x9 - a9)/(x - 9)] = limx→3 [6 + x]
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Description
This is a 75-minute chapter test on Limits in Mathematics, scheduled for July 15th. It consists of 30 questions, including multiple-choice and numerical problems, with a total of 100 marks available. Be prepared to apply your knowledge of limits and evaluate expressions accurately.
