I solve this problem step by step. If you have any problem to understand this problem inform me. I will explain this little bit more. I solve this problem assuming you know the definition of pointwise convergent of a series and a sequence also.hope you like it.
3 only Ex. 3.2. Determine the values of x € R for which the following series...
high light only Ex. 3.2. Determine the values of x E R for which the following series con- verge pointwise. n=0 η (2n+1) in Inn n=0 n=0 n=1 (0) Σαλαθι «Σανα) (0) Σαπουν (0 ΣΗ(el) (Σ. ΘΣτε X η • n=1 n=1 n=0.
Problem 1: Which of the following represents a power series representation about x = 0 α5 for the function f(x) 3 +02 X 12m+5 α2(n+5) (Α)Σ (Β) Σ (C) Σ (-1)*2m+5 3η 3n+1 3η n=0 n=0 n=0 X (D) Σ(-1)*2-21+5 (E) Σ (-1)*x2(n+5) 3n+1 3n+1 n=0 n=0
Q3: determine wither the following series are converge or diverge Γαο In(n? +3) n!.Inn a) in=1 (n+3) (12 point) c) Σ=2 =2 n (n+2)! 8 b) Σ=1 (3+ (4)»2η d) Σ= n=1 ln(m) 3 (n)2
number 4 Ex. 3.1. Determine, when possible, the function f(x) to which the following sequences converge in a pointwise way: sin(na) (ii) (i) n 2n (iii) 1 2n (iv) n (v) n! (vi) x
only answer number 4 Ex. 2.12. Miscellaneous. Determine whether the following series are con- vergent or divergent. Zn2 En m3 m3"(7) n2 +n (1+n2 n=1 n = © SUT, May 23, 2019 64 Module 2. Numerical Series N= 0 Vn2 +1-n (3n)! nn!)3 n2 + Inn vn n=1 ( 8 (-:-)" so Živa – vn = 1)
3) Determine whether the given series converges or diverges. i) (7 pts.] 4n2 + 3η +1 2n2 - η n=2 ii) (8 pts.] Σ 2n 11 COS NI iii) (10 pts.) ΠΕ1
1. Find the first four power series terms of f(x) e sinx and compare values of f(.2) with the value from the 2n+1 ex: Σ(-1)" and sinx2(-)" n! series. {3 decimal places) Multiple the series 1. Find the first four power series terms of f(x) e sinx and compare values of f(.2) with the value from the 2n+1 ex: Σ(-1)" and sinx2(-)" n! series. {3 decimal places) Multiple the series
(b) Determine for which values of x the following series converges and find the limit for all the values of x where the series converges: (-1)" sin(ne) n n=1 Does this series converge uniformly on R? (c) Find the value of M8 1 n4 n=1
Pt 1 pt 2 pt 3 pt 4 Please Answer every question and SHOW WORK! Determine whether the series n-1 Σ (2n)! 2". (2n! converge or diverge 1. both series converge 2. only series II converges 3. only series I converg es 4. both series diverge Determine whether the series 2! 1515.9 1-5.9-13 3! 4! 7m 1.5.9..(4n -3) is absolutely convergent, conditionally con- vergent, or divergent 1. conditionally convergent 2. absolutely convergent 3. divergent Determine which, if any, of the...
(1) Determine whether the following series converge or diverge: (a) Σ=0 η2 n=1 (b) Σ=0 520 και (c) Σ=2 /n ln (η) 2n (4) Σ. sin(1) η2 (e) Σ1 (1) Σ=1 n2-3n+1 ln(η).