3.1 Suppose {n} and {y} are sequences of real numbers. Let {} be a sequence of complex numbers, defined by 2n = In +iyn.

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3 1 Suppose N And Y Are Sequences Of Real Numbers Let Be A Sequence Of Complex Numbers Defined By 2n In Iyn 1 (19.28 KiB) Viewed 46 times

3.1 Suppose {n} and {y} are sequences of real numbers. Let {} be a sequence of complex numbers, defined by 2n = In +iyn. Show that the complex sequence converges when the two real sequences converges. (5) 00 3.2 Show that the complex series with = an+iy, converges if lim, n = 0. Other- wise it diverges. (5) 3.3 Show that the geometric series converges if q<1. Otherwise it diverges. (5)