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Test: Limits And Continuity : Intuitive Approach - 3


40 Questions MCQ Test Quantitative Aptitude for CA CPT | Test: Limits And Continuity : Intuitive Approach - 3


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Attempt Test: Limits And Continuity : Intuitive Approach - 3 | 40 questions in 40 minutes | Mock test for CA Foundation preparation | Free important questions MCQ to study Quantitative Aptitude for CA CPT for CA Foundation Exam | Download free PDF with solutions
QUESTION: 1

If f(x) = (x2 -4)÷(x-2) for x<2, f(x)=4 for x=2 and f(x)=2 for x>2, then f(x) at x = 2 is

Solution:
QUESTION: 2

 f(x) =   when x o    0, then f(x) is

Solution:
QUESTION: 3

If  = i, then which of the following is correct?

Solution:
QUESTION: 4

 is equal to 
Solution:
QUESTION: 5

If f(x) = x for  0 ≤ x 1/2, f(x) = 1 for x = 1-x for 1/2<x<1 then at x =1/2 the function is 
Solution:
QUESTION: 6

e-1/x[1+e1/x]-1 is
Solution:
QUESTION: 7

If f(x)=9x÷(x+2) for x<1, f(1)=3, f(x)=(x+3)x-1 for x>1, then in the interval (-3,3) the function is
Solution:
QUESTION: 8

Solution:
QUESTION: 9

Function f(x) = K.x-1  for x < 2
                   = x-k     for x ≥ 2
is continuous at x = 2
The value of 'k' is __________.
Solution:
QUESTION: 10

Solution:
QUESTION: 11

 

Evaluate 

Solution:
QUESTION: 12

Evaluate

Solution:
QUESTION: 13

The points of discontinuity of the function, F(x) =  are 
Solution:
QUESTION: 14

Solution:
QUESTION: 15

Solution:
QUESTION: 16

Find limn→∞(2n-1)2n (2n+1)-1 21-n
Solution:
QUESTION: 17

Find limn→∞[4n2 + 6n +2] ÷ 4n2
Solution:
QUESTION: 18

Find limn→∞[xn.(n+1)] ÷ [nx n+1 ]
Solution:
QUESTION: 19

 Find limn→∞[n(n+2)] ÷ (n+1)2
Solution:
QUESTION: 20

Find limn→∞(n3 +a )[(n+1)3a]-1 (2n+1 +a ) (2n +a)-1
Solution:
QUESTION: 21

Find limn→∞(n2 +1)[(n+1)2 +1]-1 5n+1 5-n
Solution:
QUESTION: 22

 

Find limn→∞nn(n+1)-n-1 ÷ n-1
Solution:
QUESTION: 23

Find limn→∞2n-1 (10 +n) (9+n)-1 2-n
Solution:
QUESTION: 24

Find limn→∞(1+n-1)[1+2n)-1]-1
Solution:
QUESTION: 25

Find limn→∞[nn. (n+1)!] ÷ [n! (n+1)n+1]
Solution:
QUESTION: 26

 Find limn→∞[(n+1)n+1. n-n-1 -(n+1).n-1]-n
Solution:
QUESTION: 27

 3x2+2x-1 is continuous
Solution:
QUESTION: 28

 Find limn→∞nn (1+n)-n
Solution:
QUESTION: 29

 Find limn→∞[n!3n+1] ÷[3n(n+1)!]
Solution:
QUESTION: 30

The value of the limit when x tends to zero of the expression (1+n)1/n is 
Solution:
QUESTION: 31

The value of the limit when x tends to zero of the expression (1+n)1/n is
Solution:
QUESTION: 32

The value of the limit when x tends to zero of the expression [(1+x)n-1] ]
Solution:
QUESTION: 33

The value of the limit when x tends to 2 of the expression (x-2)-1-(x2-3x+2)-1 is
Solution:
QUESTION: 34

The value of the limit when x tends to zero of the expression (ex-1)/x is 
Solution:
QUESTION: 35

The value of the limit when n tends to infinity of the expression 2-n(n2+5n+6)[(n+4)(n+5)]-1 is
Solution:
QUESTION: 36

The value of the limit when x tends to zero of the expression (1+n)1/n is 
Solution:
QUESTION: 37

 

Find  limn→∞[n1/2 + (n+1)1/2]-1 ÷ n-1/2 
Solution:
QUESTION: 38

The value of the limit when x tends to zero of the expression [(a+x2)1/2 
Solution:
QUESTION: 39

 Find limn→∞ (2n-2)(2n+1)-1
Solution:
QUESTION: 40

 Find limn→∞ [(n3 +1)1/2 - n 3/2] ÷ n3/2 
Solution:
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