Question
Download Solution PDFयदि फलन f (x) = [1.2] p + [-2.23] p + p = 3[1.2] है, जहाँ [.] सबसे बड़े पूर्णांक फलन को दर्शाता है, तो p के मान की गणना कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
f (x) = [x], x ∈R द्वारा परिभाषित वास्तविक फलन f: R → R, x से कम या उसके बराबर सबसे बड़े पूर्णांक फलन का मान लेता है, उसे सबसे बड़ा पूर्णांक फलन कहा जाता है।
इसलिए – 1 ≤ x < 0 के लिए f (x) = [x] = – 1
और 0 ≤ x < 1 के लिए f (x) = [x] = 0 है।
1 ≤ x < 2 के लिए [x] = 1 है।
2 ≤ x < 3 के लिए [x] = 2 और इसी तरह आगे भी
गणना:
दिया गया फलन f (x) = [1.2] p + [-2.23] p + p = 3[1.2] है।
⇒ [1.2] = 1, [-2.23] = -3
∴ p – 3p + p = 3 × 1
⇒ p = -3Last updated on Jun 18, 2025
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