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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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Related questions

Question

Evaluate the following limit using Taylor series.
-1x -3x + x³ 3
5
lim
x→0
3 tan
Rewrite the given limit using a Taylor series and simplify the result. Choose the correct answer below.
8
+ ² x ³ - 1 3 x ² + ...)
x6
OA. lim
lim-
x→0
OC. lim
x→0
O E. lim
X→0
X
OG. lim x
x→0
3 3
4
3 3
1
5
7
9
11
+ 7 × ² - 3 × ² + + 7×¹¹ - ...)
-5
X
x +
5x
-
3
1
+3
9_
3
11
11
+...
- 2 x ³ + 3 x ² - 3 x ³ +...)
C
OB. lim
x→0
OD. lim
x→0
O F.
lim
x→0
OH, lim
x→0
3
4
6
- +
+ 3³x²+ - - 7x² + — +x0³ - ...)
5*
3
3 3
2
5 + 7x²
1
- -
3
3
1
7 3'
2
4
X +
+ 77X10 - ...)
+ (4-
3
11
x +...)
6
-x²³ +
X
3
+ 3²x³² - ² × ² + 1 - ² - ...)
5
5

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