Use series to approximate the definite integral I. (Give your answer correct to 3 decimal places.) [ 2.r cos (r2) dr I =

Q: Find the sum of the series by relating it to a series whose sum you know. -x-x²-x³- x² - x5 - ..…

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Q: Find the geometric series or state that it diverges for n=0,infinity        e^-6n

A: We have to write  in geometric series and we have to give state for divergence

Q: Find the sum of the series: (- 1)"4" 3 (2n + 1)!

A: We know sin x = ∑n=0∞(-1)n x2n+1(2n+1)! Putting x=2, we get sin 2 = ∑n=0∞(-1)n 22n+1(2n+1)!

Q: Use geometric series formula to calculate: 10+50+250+...+10*5^m, where m(greater than or equal to)0

A: geometric series

Q: Change from degrees to radians. 10) 875°

A: we know that    1°=π180 radian

Q: Write ∞∑n=2anxn∑n=2∞anxn as a series whose first term corresponds to n = 0 rather than n = 2.

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Q: 2n-1 n²(n+1)

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Q: need to be shown how to work this problem sumation where n=0 to infinitive than solve      3^n /…

A: Topic:- function

Q: Write out the first 5 terms of the series E(- 1)"- n=1 n =1 n25n

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Q: Find a5 for the sequence with generating function (2/(1−x)^2)*(x/(1−x−x^2)

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Q: Deduce the sum of the series 12 +무+푸 +

A: See the attachment

Q: Find the sum of n terms of the series whose nth term is (i) 2n? - 3n + 5 (ii)n? + 2"

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Q: Find the sum of the series: Σ n=0 - − 1)" (12/12) " + ³ 25 2n + 1 (

A: Sol:- Given series can be re-written as…

Q: Uses series to solve 2D^2 y + xy + y = 0

A: Please check the equation , there is no first order differential of y,

Q: Solve for the sum for the following:  ∞ Σ      [(-1^n)*π^(2n+1)]/[(4^(2n+1))*(2n+1)] n=0

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Q: > Σ Write nCnxn+2 + (n- 1)C,x"-1 as one power series. | n=0 n=1

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