Show that the Maclaurin series for 2e-3 V4 – x² + 4 UTM SUN is 1 i. evaluate lim 1 V4 – x² x→0 UTM UTM UTM UTM UTM ii. approximate the definite integral •0.4 COTM dx correct to 4 decimal 2e- places. Jo.1 x/4 – x² |

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Show that the Maclaurin series for
TTM
TM Hence,
2e-
is 1
V4 – x²
UTM
x2
-
4
i. evaluate lim
2e UTM UTM
4 – x²
– 1
TM GUTM
ii. approximate the definite integral
x→0
GUTM UTM
UTM UTM
places.
c0.4
2e-
Jo.1 x/4– x²
UTM
dx correct to 4 decimal
UTM
SUTM
SUTM
Transcribed Image Text:Show that the Maclaurin series for TTM TM Hence, 2e- is 1 V4 – x² UTM x2 - 4 i. evaluate lim 2e UTM UTM 4 – x² – 1 TM GUTM ii. approximate the definite integral x→0 GUTM UTM UTM UTM places. c0.4 2e- Jo.1 x/4– x² UTM dx correct to 4 decimal UTM SUTM SUTM
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