Functions and limits

Written by Hassan Raza (Mathematics)

Class 12 · Mathematics · 8 questions

Name: ____________________   Date: ____________

1. The limit of (x² - 1) / (x - 1) as x tends to 1 is:

   • A 0
   • B 2
   • C Does not exist
   • D 1

2. The limit of sin x / x as x tends to 0 is:

   • A 1
   • B -1
   • C Infinity
   • D 0

3. The limit of (3x + 2) as x tends to 2 is:

   • A 6
   • B 2
   • C 4
   • D 8

4. A function f is continuous at x = a if the limit as x tends to a equals:

   • A a
   • B f(a)
   • C 1
   • D 0

5. The limit of (1 + 1/n)^n as n tends to infinity is:

   • A 1
   • B Infinity
   • C 0
   • D e

6. The limit of 5 as x tends to 3 is:

   • A 0
   • B 8
   • C 3
   • D 5

7. The limit of (x² - 4) / (x - 2) as x tends to 2 is:

   • A 4
   • B 2
   • C 0
   • D Does not exist

8. A function is not continuous at a point if:

   • A Its graph is a line
   • B It is defined everywhere
   • C The limit does not equal the function value
   • D It is a polynomial