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Q: ction f(x)=-

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Q: Test the series below for convergence using the Ratio Test. n³ n=1 0.7 The limit of the ratio test…

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Q: 1 power series representation for E (5 + x)?

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Q: if

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Q: n=1 2" 5 +10

A: The given series is .The objective is to find the convergence of the given series.

Q: K=1 3√√√x² +7 2 K³ +4 3 • The limit comparison test with { k=1

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Q: 4*+1+ k A=0

A: ∑k=0∞ 4k+1+k9k =∑k=0∞ 4k+19k+k9k =∑k=0∞ 4k+19k+∑k=0∞ k9k

Q: Use the ratio testor the root test to determine whether the series converges or diverges.

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Q: Σ + 1 + sin2 η 10η n=1

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Q: 2 n+n+1 3″(n+1) n=1² n, 2

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Q: 2 En=1 n(n+1)

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Q: x+2 f(x)= 2x – r+1

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Q: Ут. У 4+ 2 ly мв a.

A: The given series,       ∑k=1∞2k4+k

Q: Create your own example of a convergent series for which you use the basic comparison test. Make…

A: To Do: Create an example of a convergent series and use the basic comparison test. And give a proper…

Q: k=3 k+1 (k - 2)³

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Q: k=2 k (k³ - 1)³/7 3

A: Use limit comparison test

Q: 8 M k=2 Vk In 10 k

A: We have to check whether given series is convergent or divergent.

Q: (b) 3 4 6. | | 3 7 11 13 (c) Sum of the reciprocals of all natural numbers that can be written using…

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Q: use the Direct Comparison or Limit Comparison Test to determine whether the infinite series…

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