Select between converges or diverges to fill the first blank
The series
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- E and Farrow_forwardQ1. Test the following series for being convergent or divergent: (In n )"/ 2 b.) Ž 3n n 1 a.) 2 n=1 Q2.Use n-th term test to test the series: (-1)" Vn+ \n - Nn. n=1 1+e° +e2° + e +...+.. +. = 10 : 3c Q3 The value of (c) for which Q4. Choose the correct answer: a) The harmonic series is: i) Convergent. ii) Divergent. iii) Geometric. b) The limit of the n-th term of the series n tan( -) is: n=0 i) infinity ii) 1.0 iii) zero. c) The series E(-)" has: n=0 T i) no sum ii) sum=r iii) sum= (t/( T-e)).arrow_forward1.2arrow_forward
- Select the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a geometric or p series D. Alternating Series Test E. Ratio Test sin (3n) 1. n2 n=1 00 (-1)" 2. E n4 n=1 (n + 1) 3. ) 92n n=1 (-1)" 4. 2n +2 n=1 2(4)" 5. n2 6. n4 n=1 8WIWIWWIWIWIarrow_forwardsum Sn. (b) Use (a) to determine whether the series is convergent or divergent. 8 (5) Decide whether each of the following statements is true or false. If a statement is true, explain why. If a statement is false, provide specific examples of ak and Σb for k=1 which the statement is false. Σ (a) If 5 am is a series such that ak a k=1 1 k² < ak for all k, then (d) If ak k=1 (b) If ak is a series such that 0 < aarrow_forward14. The two series below are convergent (do not spend time testing for conver- gence). Find the value of each series and simplify your final answers. 1 (a) E (3п — 2)(3п + 1) Hint: Use partial fractions. - 0 6- 27-1 (b) 3n n=1 1 at zoroarrow_forwardH.W 1/ For the following series: - 1 (x-2), (x-2)2 (x-2)" 21 S(x) +(-1)". Find: - a- Values of (x) that make series converged b- The sum of series Ans/ a) 0arrow_forward7. Find the value of p for which the series ) (-3)"(p – 5)" is convergent. n=1arrow_forwardPnarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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