ALLEN CAREER INSTITUTE KOTA
MATHS QUIZ
TOPIC NAME: LIMIT
Single choice answers:-
NOTE: - [THE ANSWERS OF THE QUESTIONS ARE BELOW THE QUIZ IN
A TABLE]
1
1. Find the value of lim ( 1−x +[ x−1 ] +[1−x ]) ; where [.] is the greatest
x →1
integer function –
(a) 0 (b) 1 (c) -1 (d) Not exist
1
2. Find the value of lim ( √ ( x +a )( x +b ) −x ) −¿
x→ ∞
a+b
(a) √ ab (b) 2 (c) ab (d) none of
the above
( ) :-
1
3 1
x sin + x +1
3.Find the value of lim
x
2
x→ ∞ x + x +1
(a) 0 (b)1/2 (c) 1 (d)
none of the above
¿
4. Find the value of lim 3 x +¿ x∨
x →0 7 x−5∨x∨¿
¿¿ :-
(a)2 (b)1/2 (c)1
(d) none of the above
2
x −9 x +20
5. Find the value of lim
x →5 x−[x ]
where [.] if
greatest integer function :-
MATHS QUIZ
TOPIC NAME: LIMIT
Single choice answers:-
NOTE: - [THE ANSWERS OF THE QUESTIONS ARE BELOW THE QUIZ IN
A TABLE]
1
1. Find the value of lim ( 1−x +[ x−1 ] +[1−x ]) ; where [.] is the greatest
x →1
integer function –
(a) 0 (b) 1 (c) -1 (d) Not exist
1
2. Find the value of lim ( √ ( x +a )( x +b ) −x ) −¿
x→ ∞
a+b
(a) √ ab (b) 2 (c) ab (d) none of
the above
( ) :-
1
3 1
x sin + x +1
3.Find the value of lim
x
2
x→ ∞ x + x +1
(a) 0 (b)1/2 (c) 1 (d)
none of the above
¿
4. Find the value of lim 3 x +¿ x∨
x →0 7 x−5∨x∨¿
¿¿ :-
(a)2 (b)1/2 (c)1
(d) none of the above
2
x −9 x +20
5. Find the value of lim
x →5 x−[x ]
where [.] if
greatest integer function :-
