If xr=cos(л/2") + i sin (л/2"), Show that-X1X2X3X4...Xn = COS |π[π (1-2)] + i sin [π (1 − 1)]. Hence show thatlim x1x2x3x4. . . . . . X n =-1n→∞

We shall first express xr in terms of e raised to a power involving π and 2r. Then, we'll use the…

Answered: If xr = cos(л/2") + i sin (л/2"), Show…

If xr = cos(л/2") + i sin (л/2"), Show that X1X2X3X4.....Xn = COS lim x1x2x3x4......xn= s [π (1 − 1)] + i sin [π (1 − 1)]. Hence show that

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.5: Derivatives Of Logarithmic Functions

Problem 47E

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Question

If xr
=
cos(л/2") + i sin (л/2"), Show that
-
X1X2X3X4...Xn = COS |π
[π (1-2)] + i sin [π (1 − 1)]. Hence show that
lim x1x2x3x4. . . . . . X n =-1
n→∞

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