Chapter 7 Limits Miscellaneous Exercise 7
Chapter 7 Limits Miscellaneous Exercise 7
I. Select the correct answer from the given alternatives.
Question 1.
(A) 23
(B) 32
(C) -32
(D) -16
Answer:
(C) -32
Hint:
Question 2.
Hint:
Question 3.
Hint:
Question 4.
Hint:
Question 5.
Hint:
Question 6.
(A) 0
(B) 1
(C) 2
(D) 3
Answer:
(C) 2
Hint:
Question 7.
Hint:
Question 8.
(A) log 15
(B) log 3 + log 5
(C) log 3 . log 5
(D) 3 log 5
Answer:
(C) log 3 . log 5
Hint:
Question 9.
Hint:
Question 10.
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Question 11.
Hint:
Question 12.
Hint:
Question 13.
Hint:
Question 14.
Hint:
Question 15.
Hint:
(II) Evaluate the following.
Question 1.
Solution:
Question 2.
limx→0[x] ([*] is a greatest integer function.)
Solution:
Question 3.
Solution:
Question 4.
Solution:
Question 5.
Find the limit of the function, if it exists, at x = 1
Solution:
Question 6.
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Question 7.
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Question 8.
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Question 9.
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Question 10.
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Question 11.
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Question 12.
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Question 13.
Solution:
Question 14.
Solution:
Question 15.
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Question 16.
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Question 17.
Solution:
Question 18.
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Question 19.
Solution:
Question 20.
Solution:
Question 21.
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Question 22.
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Question 23.
Solution:
Question 24.
Solution: