Laws of Limits
The laws of limits are used to calculate the limits, it is particularly applied in composite functions. There are certain rules to find the limits of combined functions, like limit of sum is equals to the sum of limits and limit of product equals to the product of limits etc.
LImit Laws Sample Questions:
Question 1: Estimate
(a) 2
(b) 1
(c) 0
(d) 0.5
Answer: (c)
Explanation:
Question 2: Find
(a) 0
(b) 1
(c) 4
(d) None
Answer: (c)
Explanation:
Question 3: Find
(a) 0
(b) Infinite
(c) 1
(d) 4
Answer: (d)
Explanation:
Question 4: Find
(a) Does not exist
(b) 0
(c) 1
(d) -1
Answer: (b)
Explanation: Prove RHS=LHS=0
Question 5: Find the
(a) 0
(b) 1
(c) -1
(d) Does not exist
Answer: (d)
Explanation: RHS is not equal to LHS, hence limit does not exist.
Question 6: Estimate the limit
f(x)=
(a) 0
(b) 5
(c) -5
(d) Does not exist
Answer: (d)
Explanation: RHS is not equal to LHS, hence limit does not exist.
Question 7: Find
(a) 1
(b) 2
(c) Not Defined
(d) 0
Answer: (d)
Explanation: Put limit values
Question 8: Find limit of
(a) 0
(b) 2
(c) -1
(d) 1
Answer: (a)
Explanation: Put limit values
Question 9: Estimate
(a) 0
(b) 1
(c) 0.333
(d) 0.5
Answer: (d)
Explanation: Put limit values
Question 10: Find the limits
(a) 0
(b)
(c)
(d) Not Defined
Answer: (b)
Explanation:
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