Consider the series. Please answer all, Thank you !:
∞ n (1 point) Consider the series Σan where an = (-1)”+⁹. n² + 7 n=1 Using the alternating series error estimation theorem, what is the smallest number of terms needed to estimate the entire sum with an error of magnitude less than 10-⁹? At least terms are needed.
(1 point) Consider the series 8 n=1 an where an (−1)n+9. = 1 In(ln(n + 5))* Using the alternating series error estimation theorem, what is the smallest number of terms needed to estimate the entire sum with an error of magnitude less than 0.55? At least terms are needed.
(1 point) Decide whether each series converges absolutely, converges conditionally, or diverges. The series ∞ n=1 ∞ The series Σ n=1 ∞ (-1)"+7 ((0,4)") ; 3n n=1 (−1)n 7+ √n is ? The series Σ(-1)"+7 (+) is ? is ?
(1 point) Decide whether each series converges absolutely, converges conditionally, or diverges. sin n The series n=1 ∞ The series Σ n=1 ∞ (−1)n+8 n=1 (−6)n+8 n+ 10" is ? is ? The series (-1)"+8 (√6) is ?
Consider the series. Please answer all, Thank you !:
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