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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:

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Question 2: Find

(a) 0

(b) 1

(c) 4

(d) None

Answer: (c)

Explanation:

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Question 3: Find

(a) 0

(b) Infinite

(c) 1

(d) 4

Answer: (d)

Explanation:

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Question 4: Find

(a) Does not exist

(b) 0

(c) 1

(d) -1

Answer: (b)

Explanation: Prove RHS=LHS=0

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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.

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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.

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Question 7: Find

(a) 1

(b) 2

(c) Not Defined

(d) 0

Answer: (d)

Explanation: Put limit values

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Question 8: Find limit of

(a) 0

(b) 2

(c) -1

(d) 1

Answer: (a)

Explanation: Put limit values

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Question 9: Estimate

(a) 0

(b) 1

(c) 0.333

(d) 0.5

Answer: (d)

Explanation: Put limit values

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Question 10: Find the limits

(a) 0

(b)

(c)

(d) Not Defined

Answer: (b)

Explanation:

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