evaluate the following series 1- 1/3 + 1/5 - 1/7 + 1/9...........+1/1002
evaluate the following series 1- 1/3 + 1/5 - 1/7 + 1/9...........+1/1002
evaluate the following series 1- 1/3 + 1/5 - 1/7 + 1/9...........+1/1002
Evaluate the following infinite series or state that the series diverges. § [(9)*--(0)*] k=0 Evaluate the series or state that the series diverges. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. § (209)*--(8)*1- (Simplify your answer.) k= 0 O B. The series diverges.
Evaluate the geometric series or state that it diverges. 1 3 416 + 9 64 + 27 256 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series evaluates to OB. The series diverges.
evaluate the following integrals. delvelop h(z)= z/((z+1)(z-1)) into a laurent series, in the followinf domains. 7) s r=4121 = { Y 2z-1 dz z?(??+1) de | +į sene - 8) 5" Sol: 40 2T 9) COS O de 3 tsen o O ) 0 ( 2 + 1 / 3 3ے 21- او(ح1
7 TT 5. For the following series, 1 1 sin + - sin + = sin + sin +. 4 2 9 3 16 4 (a) (5 points) Write the general term an (b) (15 points) Determine whether the series converges or diverges by using integral test. Hint: In the integral use u = substitution. n
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1. Evaluate the following determinants: 8 7 3 4 0 2 (a) 4 0 1 (c) 6 0 3 6 03 8 2 3 ab (e) b c с a b 1 1 1 2 3 (b) 4 7 5 3 6 9 4 -2 (d) 8 11 4 х (f) 3 9 5 0 y 2 -18 7
1. Evaluate the following determinant. -3 -8 11 7 -2 4 5 6 91
11. Evaluate each of the following expressions: a. 4*3/6-4+ Math.pow(7,2) b. (3+4)*7-3 c. 9*2/4+5%3+3 d. 55 55
Which of the following series converge conditionally? n nt Σ(-1), sin n -1) n2 tan -1)"ne (2n-1 3-5-7-(2n 1) 3-5 1.3-1.3.52 + (-1) 3 3.5 3.5.7 3+3.5-3-5.7 + Which of the following series converge conditionally? n nt Σ(-1), sin n -1) n2 tan -1)"ne (2n-1 3-5-7-(2n 1) 3-5 1.3-1.3.52 + (-1) 3 3.5 3.5.7 3+3.5-3-5.7 +