6. Find the limit superior and limit inferior of each of the following sequences: (a) (#,) = ((-1)" +-), nE N. %3D () . n E . (b) (xn) = (n cos nE N. %3D (c) (z) = (n cos (), neN.
6. Find the limit superior and limit inferior of each of the following sequences: (a) (#,) = ((-1)" +-), nE N. %3D () . n E . (b) (xn) = (n cos nE N. %3D (c) (z) = (n cos (), neN.
6. Find the limit superior and limit inferior of each of the following sequences: (a) (#,) = ((-1)" +-), nE N. %3D () . n E . (b) (xn) = (n cos nE N. %3D (c) (z) = (n cos (), neN.
Transcribed Image Text:6. Find the limit superior and limit inferior of each of the following sequences:
(6) (7.) = (-1)" + !), n e
n E N.
(b) (=) = (n cos ().
-),nEN.
(c) (zm) = (n cos" (), ne
N.
(d) (n) =
(-1)"
nE N.
n +1
Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.
