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Flashcards do conjunto (21)
- 1Given a numerical series, we say the series converges if the sequence...of partial sums for n is greater than or equal to 1 converges
- 2How do you notate a sequence of partial sums when given?
- 3When a sequence of partial sums converges to a limit S, we define S to be ...the sum of the series
- 4How do you write the sum of the series? (4 parts set equal to each other)
- 5How do you write the general form of a geometric series?
- 6What test do you always use first?The divergence test
- 7What are the two things the divergence test tells us?
- 8Does the divergence test tell us if a series is convergent?NO
- 9In a geometric series, for what value of r does the series diverge?Absolute value of r is greater than or equal to 1
- 10In a geometric series, for what value of r does the series converge and to what sum?1/1-r
- 11Prove the above statementCheck answer on page 609 and in notebook
- 12What is the value of lim as x goes to infinity of (1+1/x)^x?e
- 13What is the interval that the interval test is confined to?[1,infinity)
- 14W1. a(x) is non-negative
2. a(x) is decreasing
3. a(x) is continuous - 15What test do we use to prove the convergence of a p-series?Integral Test
- 16What is a p-series?A power function where the variable k is in the base and the constant p is the exponent
- 17How do you notate a p-series?
- 18What is the p-series theorem?A p-series converges if and only if p>1
- 19Prove the p-series theoremCheck In notebook
- 20What is the let statement for the comparison test?
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- FlashCards sobre Sem título, criado por jess georges em 04-10-2020.
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- jess georges
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