CA Foundation P3 · Chapter 7 · Question 6 of 9
The value of lim (x→3) (x² − 9)/(x − 3) is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) 6
Explanation
Direct substitution gives 0/0. Factorising, (x² − 9)/(x − 3) = (x − 3)(x + 3)/(x − 3) = x + 3 for x ≠ 3. Hence the limit is 3 + 3 = 6.
More Sets, Relations and Functions, Basics of Limits and Continuity of Functions MCQs
- Q8The function f(x) = kx + 1 for x ≤ 2 and f(x) = 3x − 1 for x > 2 is continuous at x = 2. The value of k is:
- Q9If A has 3 elements and B has 5 elements, the number of one-one functions from A to B is:
- Q1The number of proper subsets of the set A = {1, 2, 3, 4} is:
- Q2In a group of 200 people, 120 drink tea, 90 drink coffee and 40 drink both. The number of people who drink neither tea nor coffee is:
- Q3The relation R = {(1, 1), (2, 2), (3, 3), (1, 2)} on the set {1, 2, 3} is:
