Exam 4 Calculus 2
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Last updated 3:21 AM on 4/7/26
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12 Terms
1
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Taylor series of 1/(1+x) at x=0
1-x+x²-x³+x^4-x^5
2
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Taylor series of 1/(1-x) at x=0
1+x+x²+x³+x^4+x^5
3
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Taylor polynomial of degree n of f(x) near x=a is given by:
f(a)+f’(a)(x-a)+1/2!f’’(a)(x-a)²+1/3!f’’’(a)(x-a)³+…
4
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Taylor series of e^x at x=0
1+x+x²/2!+x³/3!+x^4/4!+…
5
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Taylor series of sin (x) at x=0 and same for cos(-x)
x-x³/3!+x^5/5!-x^7/7!+…
6
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Taylor series of cos (x) at x=0 (same as sqrt x
1-x²/2!+x^4/4!-x^6/6!+…
7
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Taylor series of a binomial (1+x)^p
8
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Taylor series of sin (-x) at x=0
-x+x³/3!-x^5/5!+x^7/7!
9
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Lagrange Error Bound
c is a
10
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Determine interval of convergence 1
11
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Determine interval of convergence 2
12
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Determine interval of convergence 3
