LECTURE 3 CQMS702 WITH 100% CORRECT ANSWERS
Question 73 (Page 94):
11 p 3x 66 0 & 2 p 2 p x 10
, Calculus for Business
2.4 Limits (continued)
Theorem 1
Properties of Limits
1. lim k k for any constant k. 7. lim x n an
, for n a rational number.
xa xa
lim n x n a .
n n
2. lim
xa
lim f (x)
xa
8. xa
When
n is even, a>0.
3. lim
xa
cf x cxa
lim f (x) for any constant c.
4. lim f (x) g(x) lim f (x) lim g(x) ,
xa xa xa
5. lim
xa xa
lim
xa
f (x) lim f (x)
6. lim xa provided lim g(x) 0
xa g(x) lim g(x) xa
xa
Session 3 Page 1
Question 73 (Page 94):
11 p 3x 66 0 & 2 p 2 p x 10
, Calculus for Business
2.4 Limits (continued)
Theorem 1
Properties of Limits
1. lim k k for any constant k. 7. lim x n an
, for n a rational number.
xa xa
lim n x n a .
n n
2. lim
xa
lim f (x)
xa
8. xa
When
n is even, a>0.
3. lim
xa
cf x cxa
lim f (x) for any constant c.
4. lim f (x) g(x) lim f (x) lim g(x) ,
xa xa xa
5. lim
xa xa
lim
xa
f (x) lim f (x)
6. lim xa provided lim g(x) 0
xa g(x) lim g(x) xa
xa
Session 3 Page 1