Question

2. Prove convergent or divergent. If convergent, find limit. (a) The sequence in part (b) in problem number 1. (b) ak =3-(-1)", k > 0

Answer 1

A sequence is said to be convergent if it approaches some limit

Formally, a sequence an  converges to the limit L if

lim an = L

Now If the series converges to the number A, this means that the sequence of partial sums converges to L,

here we will use one theorem of limit

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Here siver aka 3- (-) k., K7,0 an= 3-(-)n, no a = 3- Dono (-)n. Loon does not exist as in doeson have bixed desired ralee t lom an does not exist. & sires seanance disergenee &