Question:
What is lim () ()x fx gx→0 equal to?
What is lim () ()x fx gx→0 equal to?
Options:
- a) -sin 1
- b) sin 1
- c) 0
- d) Limit does not exist Direction for Questions (105-106): Consider the following for the two (02) items that follow: Let the curve f(x) = |x – 3|.
- a) -sin 1
- b) sin 1
- c) 0
- d) Limit does not exist Direction for Questions (105-106): Consider the following for the two (02) items that follow: Let the curve f(x) = |x – 3|.
correct answer : d)
Explanation:
lim sin[ ]
[]x
x
x→0
L.H.L = lim sin[ ]
()h
h
h→
–
-0
0
0
= infinity
R.H.L = lim sin[ ]
()h
h
h→
+
+0
0
0
= lim sin
()h h→0
0
= 0
L.H.L ¹ R.H.L, limit does not exist.
lim sin[ ]
[]x
x
x→0
L.H.L = lim sin[ ]
()h
h
h→
–
-0
0
0
= infinity
R.H.L = lim sin[ ]
()h
h
h→
+
+0
0
0
= lim sin
()h h→0
0
= 0
L.H.L ¹ R.H.L, limit does not exist.