(2n + 1)(n² + 1) (e) > (n – 1)(n² – 4)² | n=3

Q: (1+x(2)- 2x(2)(1 + x)(2x) (1 +x)*

A: Apply BODMAS rule, to simplify the given expression. First, remove the parenthesis and then…

Q: Please answer parts b, c, and d

A: The objective of this question is to determine whether each of the given series converges or…

Q: iv 1 S₁²x x³ (1-x)5dx 3

A: The objective of the question is evaluate the definite integral.

Q: GIVEN: xihl i+ 2) 드 hai (-1)" (n + 2) 2"+1(n + 1) 4. Compute the exact value of n=0

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Q: i. Find the coefficient of x in the expansion of ( 2x –÷) . ii. Hence find the coefficient of x in…

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Q: 4x – 2 > 2(x + 6)

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Q: 00 (2n +1)" n2n n=1

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Q: E(-1)n + 1(n + 8)x" n = 0

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Q: E[2A+ 3B + C – E + 2D] |

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Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The Binomial Theorem is the method of expanding an expression which has been raised to any finite…

Q: Prove that n² +n is divisible by 2, where n E N.

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Q: (-4)* 5k +1 k=1

A: We have to find if the series convergent or divergent.

Q: 2(n-3)+n(2-n)=2-n2

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Q: šolve 21. 8(2x + 5) – 7(x – 9) 22. 4(x – 3x + 5) – 3(x² – 2x + 1) 23. 2(2 – 51) + r(t – 1) – (r* –…

A: 82x+5-7x-9⇒16x+40-7x+63⇒9x+1034x2-3x+5-3x2-2x+1⇒4x2-12x+20-3x2+6x-3⇒x2-6x+17

Q: Evaluate A2(x) from the following expression A (-1)* (2n – k)! A„(x) = L 2r (n – k)! (n – 2k)! n/2 |…

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Q: f(x) = (2x - 1)º(5x² + 3)²

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Q: 7x2-6x+1 = m(x – 2) + n(x – 1)(x + 3) + p(x – 5)(x+ 2)

A: We know that a second degree polynomial has the form fx=ax2+bx+c, where a, b and c are constants…

Q: Prove that ax² bx + (x − a) (x −b) (x −c) ¹ (x − b) (x − c) || x³ 3 (x-a)(x-b)(x-c) C +—+1 X-C

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Q: 1/3 + 1/7

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Q: п(Зп + 1) 2 + 5 + 8 + ... + (3n – 1) =

A: We have to prove the series  2+5+8+...+(3n-1)=n(3n+1)2