x®+7x6+9x5-4x²+2 lim x--00 x6-4x5-3x2-6x+4

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A: Here, V =70000+70000 e-0.47t

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A: Solved below

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A: We will solve the integration. 

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A: Topic = Volume

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A: Questiion 1,Given,            limx→0sin3xcot5xxcot4x=125To find : To prove the limit.

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Q: Prove that lim (4x² – 25) = -9. X→2

A: We will prove this by definition of limit as follows 

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A: Explanation of the answer is as follows

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Q: 5x + 2 lim log + 6 10x + 12 ° X-

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A: The given recurrence relation is: c(n)=c(n-1)+n*c(n-2)+(n-2)*c(n-3)+(n-3)*c(n-4)+2...(1)

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A: Given fx=x2+2x+5 To find f'(x) &amp; f'(2):

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