2e- is 1 /4 – x² Show that the Maclaurin series for .. 4 Hence, 2e- 1 V4 – x² i. evaluate lim 2e- ii. approximate the definite integral o1 z4- 72 0.4 dx correct to 4 decimal x/4 – x² places.

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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Show that the Maclaurin series for
2e
is 1
V4 – x2
+
4
Hence,
2e-
1
V4 – x2
i. evaluate lim
0.4
2e-
ii. approximate the definite integral
dx correct to 4 decimal
l0.1 x/4 – x²
places.
Transcribed Image Text:Show that the Maclaurin series for 2e is 1 V4 – x2 + 4 Hence, 2e- 1 V4 – x2 i. evaluate lim 0.4 2e- ii. approximate the definite integral dx correct to 4 decimal l0.1 x/4 – x² places.
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