for the p-series 1 пр n=ln 1 1 1 + + 1P 2P 3P +...+ +. 1 пр A) then it converges O C) then test fails B) then it diverges O if p = 3

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Q: 20. Prove the following identity. Use proper form. sin (-x) cosx= sin2x_1 3.1 cot (-x)

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A: Note: As you asked only for subparts 4, 5, 6, and 7 so, I answered here only that.

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Q: > For y, polynomial 1 », — D² - 2₂·[*²] Ур

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Q: Let X be a Banach space and TE B(X) an operator with ||T|| E o(T). Show that || id +T|| = 1+ ||T||.

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Q: 7. Lucas does not like Dustin weapon and decides to design his own. His model has a plane that…

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