The series represented by f(3): must converge must diverge could converge or diverge. The series (-8)*ar: • The must converge must diverge could converge or diverge. k=0 • The series represented by f(-2): could converge or diverge. must converge must diverge Suppose that f(x) = > ax(x+4)* and it is known that 3*ak converges but the series Problem k=0 k=0 represented by f(8) diverges.

Q: 10) Determine whether the series converges or diverges 2" n! n"

A: The given series,  ∑n=1∞2nn!nn

Q: True or false: The series In 2 In 3 6 + In 4 In 5 8 10 + In 6 12 ****converges

A:

Q: n=2 1 In n

A:

Q: Determine whether the series's converges or diverges

A: we have given series ∑n=1∞ 4n+13n-2

Q: Which infinite geometric series diverges?   S=262+301.3+346.5+... S=6,651+729+81+...…

A: Infinite series.

Q: Determine if the following series is convergent or divergent: iM8 8cos² (n) 8n2+4 O O Divergent…

A: The given series .To determine whether the series converges or diverges.

Q: n +3 2n + 1

A: We are given the series,                                . We need to check whether the series is…

Q: Check the convergence of the following series: k=1 ak²+bk+c dk² + ek + f where a, b, c, d, e, and f…

A: The given series is a rational function of k, and it is an infinite series as it goes from k=1 to ∞.…

Q: E(-1)" (~1)nn! n=1 en

A: Given series:-       To find:- Given series is convergent or not