Which of the following series is(are) convergent? 8. (I) ) n31 1 + 46 n32 n=1 n- 11 (II) n 9n n=1 n3 + 3 (III) n=1 n +n2 O II only OII and III O I, II and III O I only O I and II

Q: п(п-1) п - 1 n +1) 7.1.7. ап п+1

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Q: Which of the following series converge? 1 (1) E e n= 100 n 100 (II) (1) Σ 0.99999 n=1 n - 1.00001…

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Q: 7. Consider the following power series, centered at x = -2. Σ(-1)(x+2) 4+1√√n Find the radius of…

A: The given power series is: ∑n=1∞ (-1)n(x+2)n4n+1n

Q: The series (-1)" n=0 n√n N².8 O Conditionally convergent O Absolutely convergent O Divergent is

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Q: Find the interval of convergence for the given power series. ∞ n²(x + 2)" (2¹) (n³) n=1 The series…

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Q: 4. Find the perimeter of a rectangle whose area is 84 m². The length is 5 m more than its width.

A: Let the length is L and width is b. Given: L=b+5 Area of a rectangle=84m2 As we know that the area…

Q: 1. Evaluate the sum of the series. 1 (a) 4. 1 + 8 16 1 +. 128 Hint: Geometric series 32 64 1 + 15 2…

A: In this question we have to find the sum of the series.