Given: 00 5(-3)"(x – 2)" Vn + 2 n=0 Use Limit Comparison Test to show that the series diverges when x = 3

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A: The Maclaurin series of a function f(x) is given by the following formula. fx=∑k=0∞fk0k!xk Where…

Q: Compare the answer of the expansion of the binomial expression (1 + x)-3 = 1-3x + 6x2 -10x3  with…

A: We have to compare the binomial expansion of (1+x)-3 with the first four terms of Maclaurin series…

Q: Consider A = (0, 4, 2) , B =, (6, –1,0) and C = (3,0, 1). (a) Find the unit vector having the same…

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Q: 6. Let T : R – R* be the function defined by [i(1)] f2(x2) f3(r3) 12 T( where f1, f2, f3, fa : R → R…

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Q: Compute the distance between the following vectors: 2 2 w = 3 v = -4 1

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Q: Find the sum, if it exists, of the given series: E (arctan(n?) – arctan(n + 1)*)) n=1 O 1 2 O -T T 4…

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Q: Find a basis for W, the orthogonal complement of W, if W is the subspace spanned by 2

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Q: After examining the graphs of several logarithmic functions, you should see that there are…

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Q: x²–y² onsider the function f (x,y)=| Which ONE of the following statements x²+y², TRUE? DA. (х.у) —…

A: We have to find the limit at point (0,0).

Q: Determine if the numbers are irrational or rational:  4/9

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Q: 2. For n > 0, let F(n) be the number of strings of length n over an alphabet of size k. Derive a…

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Q: Evaluate the line integral. e ds where C is the curve given by x=2t, y=3t, 0<t<2

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Q: Question 25 Given the collection of Big Oh and Big Omega assertions below, which of the following…

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Q: Exercises 53 D and 54 D: Critical Thinking Determine mentally an integer n so that the logarithm is…

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Q: Which of the following expressions is a closed form of the sum of the integers from 92 to 200,…

A: We know sum of first n natural numbers      1+2+3+.......+n = n(n+1)/2

Q: (d) 22n+1 п! n=1 (e) (-1)" arctan (n) Σ n2 n=1

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A: Given differential equation is y''' - 3y'' + 2y' = 0

Q: What is the value of the linear correlation coefficient "r" for the fol y 2 4 1.

A: The formula for the relation correlation coefficient is given as follows r=∑xi-x∑yi-y∑xi-x2∑yi-y2

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Q: TICE ANOTHER Use left and right endpoints and the given number of rectangles to find two…

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Q: 3. Given X'- ( ")* -16 2 -8 sin(2t) (a) Verify that X1(t) = ( cos(2t) + sin(2t) ) * 4 cos(2t) – 4…

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Q: For all x E R, e* = Ln=0 +0+ n! Express f (x) = x e* as a power series.

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Q: 1By the monotone converges Theorem, snow that nis siquence convergus 2.4 .. (2n) ** 3.5 --- (2nt1)…

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Q: Q4. Solve the following problem using the simplex method: Minimize z = x - 4y Subject to 2x - 3y <6…

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Q: Select the statement that is true. a. There are integers s and t such that 1 = 102 ⋅ ? + 72 ⋅ ? . b.…

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