please slove this exercise step by step !! thank you for consider my help. Compute the...
Power Series - Interval of Convergence Exercise Step 1 Find the radius of convergence R, and interval of convergence I of the series. First, set up the limit: 100 lim 1+1 10"+1(n+1) ( +1) n 18 Step 2 Evaluate the limit. lim 10 (n + 1) 10"n Submit Skip.(you cannot come back)
Please help solve all of them! DETAILS 1. [-/5 Points) MY NC Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.) 1 + x Σ provided 1x1 no 2. [-/5 Points) DETAILS MYN Find a power series representation for the function; find the interval of convergence. (Give your power series representation centered at x = 0.) 5 f(x) 1 + Σ provided fx < no 3....
point) Consider a function f(x) that has a Taylor Series centred at x = 5 given by ſan(x – 5)" n=0 he radius of convergence for this Taylor series is R= 4, then what can we say about the radius of convergence of the Power Series an ( 5)"? nons A. R= 20 B.R= 8 C. R=4 D. R= E. R= 2 F. It is impossible to know what R is given this information. point) Consider the function f(x) =...
I would really appreciate your help with solving this whole question of my assignment due in a few hours. Willing to rate and like!! Thank you so much Q1/ Solve the following series question a) is the following sequence increasing, decreasing, or not monotonic? Is the sequence bounded? a. an = 2n13 b) Use power series to approximate the definite integral to six decimal places. a. Jo 773 dx b. So 2 x ln(1 + x²) dx 0.3 x c)...
Please solve the exercise 3.20 . Thank you for your help ! ⠀ Review. Let M be a o-algebra on a set X and u be a measure on M. Furthermore, let PL(X, M) be the set of all nonnegative M-measurable functions. For f E PL(X, M), the lower unsigned Lebesgue integral is defined by f du sup dμ. O<<f geSL+(X,M) Here, SL+(X, M) stands the set of all step functions with nonnegative co- efficients. Especially, if f e Sl+(X,...
Calculus 2. Please use best handwriting as possible thank you! 5) Define Ža. converges to Se R in your own words (21 words or less): (4 pc 6) Given 21 19 17 15 43'85 127 169 write an expression for the term of the sequence and determine converg (61 7) Determine if the series Ž(21)" is convergent or divergent: ( 214 8) Evaluate lim 1+ 9) Determine if the series 2n is convergent or divergent: 2n24 + 3n-1
please show a step by step of a,b, and c. Thank you! Consider a function f : R R such that f'(x) = x²(x - 1)(x - 2). Find all stationary points of this functie and determine their types. Find the globally optimal solution to max 13 - 2 s.t. -1<r<2 Find all local solutions to max 23 - 3x2 + 4x - 1 s.t. -2<3<4
7. (-/5 Points) DETAILS MY NOTES Find the Taylor series for f(x) centered at the given value of a, assuming that f(x) has a power series expansion about a. f(x) = x - x3 = --3 Submit Answer Find the Taylor series for f(x) centered at the given value of a, assuming that f(x) has a power series expansion about a. 1 f(x) a = 2 х 20 8( (-1)". „n+1(x - 2) n=0 Find the Maclaurin series for f(x),...
Need help with Part (a) and double check my answer for Part (b) Thanks in advance! Part (a) Part (b) - Not sure if they are correct. *-51 (1 point) A student tried to apply the l'Hopital's rule to find the limit lim He used four steps to get his answer: x x+x cos x. x-sin x lim x x+x cos x 1-cos x x01+cos x-x sin x) provided this limit exists (step 1), lim X+0 - sin x -2...
i need help with #6, #15, and # 17. please and thank you! 1 lim 8 lim- 22 2 lim Problems for $1.3 For problems 1 through 14: By replacing functions with a few terms of their asymptotic series, find the following limits. et - 26 +1 tan(x) – sin(x) cosh(x) 20 cos(2) - 11 - 22 9 lim sin(x) sin (x) – 2,2 1-0 24 *+0 tan(x) tan-(x) - 22 3 lim x2 + x -2 10 lim x1...