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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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→∞
Transcribed Image Text: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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