Use the nth term test to show that the series is divergent, or state that the test is inconclusive n (a) n=0 3n-6

Q: Σ(51) k

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Q: Write the power series for  (1 + x)k  in terms of binomial coefficients.

A: The binomial theorem is given below:

Q: find the function interpretation of the series Σn_1 n x³n

A: To find the function interpretation of the following series.

Q: Find all values of p for which the following series converges n vn+1 – Vn³ -n? +1 2nº +1 n=1

A: Explanation of the solution is given below....

Q: 2" The value of p for the series En=1 by using ratio test is n! -1 O 8 2 0 ( 1 O

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Q: .2 .4 x + + 1 2! +... 3!

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Q: timate the series n=1 (-1)" 2n - 5n to within an accuracy of 0.5.

A: To

Q: Consider the series n=1 (2x)n n2

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

Q: Comparison ust

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Q: 0se the ratio test to determine whether the series Convergent cr divergent (-1)-1 2"n3

A: A series is given by, ∑n=1∞-1n-13n2nn3. The objective is to use the ratio test to determine whether…

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Q: Consider the series (-1)"+1² n+12 n° +4 1. Use the Alternating Series Test to show that the given…

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Q: 7. Find the value of p for which the series >(-3)*(p – 5)" is convergent. n=1

A: This series will be convergent  if the  common  ration "r" will be less than 1.

Q: n=1

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Q: Use the fact that (a) (b) 1 (1-x)² = 00 n = 1 00 1 ΙΣ (7) 10 10 n = 1 n 9 00 n 1 10 ÷ ℃ (²)² = 11 11…

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