जर , जेथे [.] हे महत्तम पूर्णांक फल आहे. नंतर चे मूल्य शोधा.

  1. 1/6
  2. 2/3
  3. 1/3
  4. 1/2

Answer (Detailed Solution Below)

Option 3 : 1/3
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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संकल्पना :

महत्तम पूर्णांक फल : (तळाचे फल)

फल f(x) = [x] याला सर्वात मोठे पूर्णांक फल म्हटले जाते आणि याचा अर्थ x पेक्षा कमी किंवा समान म्हणजे [x] ≤ x.

[x] चे डोमेन R आहे आणि श्रेणी I आहे.

गणना :

दिलेल्याप्रमाणे:

दिलेल्या पूर्णांकासाठी , x दरम्यान आहे 1 / 3 आणि 1 / 2 म्हणजे

तर, वरील असमानतेनुसार:

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