Mathematics · Calculus

मान लीजिए f(x) = [x]2 - [x+3] - 3, x ∈ ℝ जहाँ [·] महत्तम पूर्णांक फलन (greatest integer function) है। तब:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1x के परिमित मानों (finitely many values) के लिए f(x) = 0
2∫02 f(x) dx = -6
3f(x) < 0 केवल x ∈ [-1, 3) के लिए✓
4f(x) > 0 केवल x ∈ [4, ∞) के लिए

सही उत्तर देखें

f(x) < 0 केवल x ∈ [-1, 3) के लिए

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मान लीजिए f(x) = [x]2 - [x+3] - 3, x ∈ ℝ जहाँ [·] महत्तम पूर्णांक फलन (greatest integer function) है। तब:

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मान लीजिए f(x) = [x]2 - [x+3] - 3, x ∈ ℝ जहाँ [·] महत्तम पूर्णांक फलन (greatest integer function) है। तब:

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