Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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If a growth series and a linear series are specified that start at 1 and have a step value of 2, which series has a
larger value when the 10th value is reached in each series?
O The growth series is not provided by Excel
O The growth series
They are equivalent
O The linear series
n+1
Suppose lim
=1 then the series is
%3D
Analytic
Divergent
inconchusive
Convergent
Calculus II
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- etermine whether the series is convergent or divergent. If the series is convergent, 5k+2k 8k find its value. a. Σk=0 8 b. Σ=1 1 k(k+1) (hint: 1 k(k+1) ----12--12) k k+1 =arrow_forward() 4 is convergent or divergent by com- Determinee whether the series > (1+i) 3 i=1 paring it to an eventually geometric series. If it is convergent, find its value. NOTE: you must use the comparison test. No other test is acceptable.arrow_forwardShow that each series below is convergent using a test of your choosing. Besure you clearly state which test you are using and show all of your work.arrow_forward
- Show detailed soplution and explanation.arrow_forwardBasic Calculus Convergent or Divergent Series will give thumbs up if correctarrow_forwardTest the series for convergence or divergence. (If the quantity diverges, enter DIVERGES.) 5n – 1 E(-1)" 7n +1 n=1 lim (-1)" 5n – 1 7n + 1 convergent o divergentarrow_forward
- Chpater 11.2 seriesarrow_forwardplease send solution step by steparrow_forwardTutorial Exercise Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) W (4x) no (3m)! Step 1 Recall the Ratio Test, which states that if a, is a series with nonzero terms, and lim 1, or lim =o, then diverges For any fixed value of x such that x = 0, let a (4x)" (3n)1 and find lim 918 (4x)+1 lim (3(n + 1))! = lim (4x) (an) lim (4x)+1 518 (3(n-1))! (3n)! 88,0 4x × (-00,00) X Step 2 By the Ratio Test, the series converges if lim -21. Therefore, the series converges for x such that lim an Submit Skip (you cannot come back)arrow_forward
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