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Class 11 (FYJC / HSC)Mathematics & Statistics2026-27 Syllabus

Chapter 7 Limits Miscellaneous Exercise 7 Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 7 Limits Miscellaneous Exercise 7. Step-by-step solved exercises, numerical problems, and digest answers.

39 Solved Questions• 54 Diagrams• 567 words

Maharashtra State Board 11th Maths Solutions Chapter 7 Limits Miscellaneous Exercise 7

I. Select the correct answer from the given alternatives.

Question 1 Maharashtra Board Solution

(A) 23 (B) 32 (C) -32 (D) -16

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(C) -32 Hint:

Question 2 Maharashtra Board Solution

(A) (B) (C) (D)

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(B) Hint:

Question 3 Maharashtra Board Solution

(A) (B) (C) (D)

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(A) Hint:

Question 4 Maharashtra Board Solution

(A) (B) (C) (D)

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(D) Hint:

Question 5 Maharashtra Board Solution

(A) 1 (B) (C) (D)

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(C) Hint:

Question 6 Maharashtra Board Solution

(A) 0 (B) 1 (C) 2 (D) 3

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(C) 2 Hint:

Question 7 Maharashtra Board Solution

(A) (B) (C) (D)

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(C) Hint:

Question 8 Maharashtra Board Solution

(A) log 15 (B) log 3 + log 5 (C) log 3. log 5 (D) 3 log 5

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(C) log 3. log 5 Hint:

Question 9 Maharashtra Board Solution

(A) e3 (B) e6 (C) e9 (D) e-3

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(A) e3 Hint:

Question 10 Maharashtra Board Solution

(A) (B) (C) (D)

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(D) Hint:

Question 11 Maharashtra Board Solution

(A) 1 (B) log 3 (C) (D) 3 log 3

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(B) log 3 Hint:

Question 12 Maharashtra Board Solution

(A) (B) (C) (D)

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(D) Hint:

Question 13 Maharashtra Board Solution

(A) 3 log 3 (B) 2 log 3 (C) (log 3)2 (D) (log 3)3

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(C) (log 3)2 Hint:

Question 14 Maharashtra Board Solution

(A) log 5 – 4 (B) log (C) (D)

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(B) log Hint:

Question 15 Maharashtra Board Solution

(A) (B) (C) (D)

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(B) Hint:

(II) Evaluate the following.

Question 1 Maharashtra Board Solution

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Question 2 Maharashtra Board Solution

([*] is a greatest integer function.)

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Question 3 Maharashtra Board Solution

If f(r) = πr2 then find

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Question 4 Maharashtra Board Solution

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Question 5 Maharashtra Board Solution

Find the limit of the function, if it exists, at x = 1

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Question 6 Maharashtra Board Solution

Given that 7x ≤ f(x) ≤ 3x2 – 6 for all x. Determine the value of

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Question 7 Maharashtra Board Solution

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Question 8 Maharashtra Board Solution

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Question 9 Maharashtra Board Solution

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Question 10 Maharashtra Board Solution

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Question 11 Maharashtra Board Solution

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Question 12 Maharashtra Board Solution

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Question 13 Maharashtra Board Solution

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Question 14 Maharashtra Board Solution

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Question 15 Maharashtra Board Solution

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Question 16 Maharashtra Board Solution

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Question 17 Maharashtra Board Solution

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Question 18 Maharashtra Board Solution

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Question 19 Maharashtra Board Solution

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Question 20 Maharashtra Board Solution

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Question 21 Maharashtra Board Solution

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Question 22 Maharashtra Board Solution

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Question 23 Maharashtra Board Solution

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Question 24 Maharashtra Board Solution

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Previous Chapter

Chapter 7 Limits Ex 7.7

Chapter 8 Continuity Ex 8.1