Find the supremum and infimum limits for each sequence given below. a. (x_{n}=(-1)^{n}left(1+n^{-1}ight)) b. (x_{n}=(-1)^{n}) c. (x_{n}=(-1)^{n}

Question:

Find the supremum and infimum limits for each sequence given below.

a. \(x_{n}=(-1)^{n}\left(1+n^{-1}ight)\)

b. \(x_{n}=(-1)^{n}\)

c. \(x_{n}=(-1)^{n} n\)

d. \(x_{n}=n^{2} \sin ^{2}\left(\frac{1}{2} n \piight)\)

e. \(x_{n}=\sin (n)\)

f. \(x_{n}=\left(1+n^{-1}ight) \cos (n \pi)\)

g. \(x_{n}=\sin \left(\frac{1}{2} n \piight) \cos \left(\frac{1}{2} n \piight)\)

h. \(x_{n}=(-1)^{n} n(1+n)^{-n}\)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: