Mathematics · Real Analysis
अनंत समाकलनों (improper integrals) पर विचार कीजिए: I = ∫ π/2 π 1 √(sin x) dx और a ≥ 0 के लिए, I a = ∫ a ∞ 1 x√(1 + x 3 ) dx. निम्नलिखित में से कौन सा कथन सत्य है?
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- 1समाकल I a , सभी a ≥ 0 के लिए अभिसरित होता है
- 2समाकल I a , a = 1/2 के लिए अभिसरित होता है लेकिन a = 0 के लिए नहीं
- 3समाकल I अभिसारी नहीं है
- 4समाकल I अभिसारी (convergent) है✓
सही उत्तर देखें
समाकल I अभिसारी (convergent) है
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