Suppose x is a fixed real number. Show that the following hold. (Here y is a real variable.) lim y→∞ sin(x + y) 1 ey = lim y→∞ cos(x + y) ey = 1/e-iz 2
Suppose x is a fixed real number. Show that the following hold. (Here y is a real variable.) lim y→∞ sin(x + y) 1 ey = lim y→∞ cos(x + y) ey = 1/e-iz 2
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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Transcribed Image Text:Suppose x is a fixed real number. Show that the following hold. (Here y
is a real variable.)
lim
y→∞
sin(x + iy) 1
ey
=
lim
y→∞
cos(x + y)
ey
=
1
țe-iz
2
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