Chapter 7 Limits Miscellaneous Exercise 7

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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.

Hint:

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.

Solution:

Question 7.

Solution:


Question 8.

Solution:

Question 9.

Solution:


Question 10.

Solution:

Question 11.

Solution:

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Solution:

Question 15.

Solution:

Question 16.

Solution:

Question 17.

Solution:


Question 18.

Solution:

Question 19.

Solution:


Question 20.

Solution:

Question 21.

Solution:


Question 22.

Solution:



Question 23.

Solution:


Question 24.

Solution: