4- Use the series to evaluate lim- ex-(1+x) x→0 x2

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Q: (x+1)- ex-(1+x) 4- Use the series to evaluate lim-

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A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

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Q: The value of limx→0 x² by using series is -0.5 O 0 O 1 -1 O O

A: We want to find the limit limx→0ex-1-xx2

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A: Here we use D'Almbert ratio test.

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Q: 1.) Use the Limit Comparison Test to determine if the series converges or diverges. 1 sin().

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Use series to evaluate the limit. + x - In(1 + x) lim 2 X-0 x3

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Q: And

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Q: In (1 + x2) lim x0 1 - cos x

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Q: Find the radius of convergence and interval of convergence of the series x/1+x2/2+x3/3+…+xn/n+…

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A: Hi, thank you for the question. Since you have posted multiple questions, as per our policy we will…

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Q: Find a geometric power series centered at 0 for f(x) = 4/(x+2)

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Q: The value of limx→0 ex-1-x x² by using series is о о -1 O 0.5 O 1 O -0.5 O

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A: We'll answer the first question since the exact one was not specified. Please resubmit a new…

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Q: The value of limx→o ex-1-x x² by using series is

A: I have given the answer in the next step. Hope you understand that

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