Question:
What is lim ‘( ) x fx →0 equal to?
What is lim ‘( ) x fx →0 equal to?
Options:
- a) 2
- b) 1
- c) 0
- d) Limit does not exist
- a) 2
- b) 1
- c) 0
- d) Limit does not exist
correct answer : c)
Explanation:
f(x) =
xx
xx
3
2
11
11
–< <
∈- ∞- ∪∞
(, )( ,)
f(x) = 31 1
21 1
2xx
xx
-< <
∈- ∞- ∪∞
(, )( ,)
\ lim '( )
x
fx
→0
= 3(0) = 0
f(x) =
xx
xx
3
2
11
11
–< <
∈- ∞- ∪∞
(, )( ,)
f(x) = 31 1
21 1
2xx
xx
-< <
∈- ∞- ∪∞
(, )( ,)
\ lim '( )
x
fx
→0
= 3(0) = 0