P) use a power Series to approslnete tue Value of the integral 4 e doc with en e mor of less fren 0:0I Round your auglwer to two decimal plaes. dj o-88 a) 0.84 b) 0:8) c)0-89 e) 0.74

Q: 8.2 #7. Evaluate each Geometric Series or state that it diverges. 1+음 를 +를+ ~

A: Given series is 1+eπ+e2π2+e3π3

Q: Which of the following is true for the integral A. In 5-In(-2) B. In 5-In 2 C. -In 5 + In 2 D. In 5…

A: Sometimes, the integrand of a definite integral is undefined at any of the two limits or at a point…

Q: 1 = 1 +x+x?+ 1-x Ex", I지<1 n=0 1 = 1-x+x2- ... + (-x)"+ 1+x E(-1)"x", x|<1 n=0 x2 ex = 1+x+ 2! x"…

A: use e^x expension

Q: (-1)" For the series En=1 n3 00

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Q: 2. The sum of the first n terms of a series is given by Sm = 14n – 2n² a) Find the nth term of the…

A: Given nth partial sum of the series.

Q: da find the 2-24 Series

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Q: Use e power series to show that

A: We will show that ddxex=ex using power series.

Q: Hw.8 find foarier Serias interval of fnetion fe fe gren ーKrく。 :) -Kaco oくxく」 )病-e

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the…

Q: When creating a Riemann sum, what is the width of an approximating rectangle on [-24.1, 156.7], if…

A: When creating a Riemann sum, what is the width of an approximating rectangle on [-24.1,156.7], if we…

Q: Which of the following formula is the general term of the sequence a. (n+1)* O b. (–1)"+1, (n+1)*…

A: The solution is given below

Q: Let us consider the sum, S, of the following terms: r 2 r? 3r 2r pA 2 r 3r 4 r * 2m 3 mm nr" Show…

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Q: define sequence a, by SELECT A A) B) lim a, =0 = 5-5t.5 C) -times %3D D) E) lim a F) lim a, = e

A: The given sequence is an, where an=555.....    (upto n times) We have to express this sequence as…

Q: Write each summation as a series. (1 –2)(1+2) D-0-0-0-01-D-0

A:

Q: 3. For what value of r does the series 1+r+r² + r³ + • = 10 ?

A:

Q: Evaluate A) 3 (x-9) ² 8 converges B) converges c) converges (e D) diverges 9/h O dx

A:

Q: Find the Maclourin series of tHe follow. (sinx dx e

A:

Q: 4)7, -21, 63, -189, ... find s, S = 5)4, 12, 36, 108, ... find s, S, =

A:

Q: Express the repeating decimar o. abcabcabc... as a geometric series, and find the value of this…

A: Express the repeating decimal 0.abcabcabc... as a geometric series, and find the value of this…

Q: ১ तस् use series to evaluate

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Q: 2- Show that the Sequence An define by and dn=Vant 2 for 'nI %3D is a monotonic increasing. a

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Q: 2 Given the Sequence xcn) = (6-n)[Ucn)-Ucn-6)). Make a sketch of :- a) y,n)= XC4-n) b) YeCn) = X…

A: Given: The sequence is: Xn=6-nun-un-6 The sketch of the graph is such that:

Q: betormine whe lher the is lon vengunt . If it is, fiul its sum: qiven series is, find |-36/

A: Given series is ∑n=1∞1+i1-3in To test the convergence of the given series. Let zn=1+i1-3in Now,…

Q: When resistors 1 and 2 are connected in series, the equivalent resistance is 22.1Q. When they are…

A: 2 resistances are connected in series.

Q: 4- If the leng th of the edge of a cube IS Thcreasmg atarate of sem/s, hemtast is the volume of the…

A:

Q: Write tthe history of Mathematicain Maclarurian and maclaruian series importance of mathemtica…

A:

Q: Evaluate E, (3"5!¬"). Write fractions as an improper fraction a/b. If it In=D1 does not converge,…

A:

Q: Use the properties of infinite series and the fact that 1 1 1 and 4 6" n = 1 5 n = 1 to find the sum…

A:

Q: Let f) = 1, -1sae1 md let F) = E. Ga.tr) be a series expumion of fa) where (u.c - (sin (ara) set of…

A:

Q: 8+6.4+5.12+... Which one of the following is the sum of this infinite series? a) 40 b) 35 c)…

A: topic- geometric series