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QJEEAdv03Ma82fb: JEE Advanced 2003 Mathematics - Class 12 JEEAdv03Ma82fb Solution: If P ( 1 ) = 0 and d p ( x ) d x > P ( x ) for all x ≥ 1 then…

If P(1)=0 and dp(x)dx>P(x) for all x≥1 then prove that
P(x)>0 for all x>1.

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