n2 1. Determine whether the series En=1 is convergent and explain why 2n++1 (In n)

Q: In 2. Determine whether the series E=1 is convergent explain why. 100

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A: Green's theorem states that for  counterclockwise direction∮CPdx+Qdy=∬R∂P∂y-∂Q∂xdxdy

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A: solution is given below

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Q: es conve n=1

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A: answer is in next step . as per guideline i can only answer one question

Q: I) sin X dy dx Sin 2X - y Cos X

A: Explanation of the answer is as follows

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A: Use the substitution method to solve the integral.

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A: We have to find out

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A: Solution:

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A: The solution is given below

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A: ∑n=1∞ 2en1+e2n=2e1+e2, 2e21+e4, 2e31+e6This is not a geometric series; as there is nocommon ratio…

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A: Given query is to find the value of the integral.

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A: Using Cauchy differential equations,

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