2. For p>1, is S dx convergent? Inx xP

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A: SOLUTION-

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A: Answer is following.

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Q: By using the substitution t² determine the convergence of = S ∞ dx (x+1)√√x*

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Q: 1 dx is convergent True 8

A: Solution is given as below:

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A:

Q: Determine whether or not the infinite series below converges.

A: The given series is

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Q: (b) Explain why the integral e x'dx is convergent.

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A:

Q: In the given equation as follows , determine whether the statement is true or false. If it is false,…

A: Given that, ∫0∞eax dx converges for a<0 The above statement is true.

Q: 10. Determine whether the given dx convergent or convergent? a. converges to o Page. b. diverges to…

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Q: A. Below, determine whether or not the integrals are convergent: 1. t-²e'dt 2. et cos tdt

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Q: In(z2) dz Is the improper integral convergent or divergent? Solve for its value.

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A: Idea: use substitution method to integrate  then we get undefined value  so integral is not convert

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Q: 6. The improper integral 1 dx converges to х -5 попe 2 1 4

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Q: Determine whether or not the infinite series below converges.

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Q: For what values of p does the integral dx is convergent ( p > 0 ).

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Q: o Inx 2. For p>1, is S, dx convergent? 1 xP

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Q: dx is convergent a) true b) false O b

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A: