(x + 7)" 2" . ,?- n in =2 3/ 2 V n - 1

Q: What equivalent is the pawer series f(x) - R

A: Given that, The general power series is, The derivative is,

Q: B. Find the interval of convergence of the power series and find the sum of the series as a…

A: Series convergence

Q: sin (n) 2n=1 S 00 in: 5n

A:

Q: 3x f(x) = 5-2Vx

A: Given that, f(x)=3x25-2x3 This can be rewritten as, f(x)=3x25-2x13-1 This is of the form f=gh…

Q: v that the series (-1)" is a conditionally convergent series. Then determine the least n=1 ber of…

A:

Q: The series E² is convergent and has a sum.

A:

Q: Example (1): Solve the second order initial value problem y"(x): = -3cos? (x) + 2 ;y(0) = 0 ;y'(0) =…

A: The given equation is y''(x)=-3cos2(x)+2 ; y(0)=0 ; y'(0)=0 To solve this equation first we find the…

Q: Find a power series for the function, centered at c. f(x)= 2/(5-x).  c=-4  determine the interval…

A:

Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤ y ≤16, 0≤z≤ with density…

A:

Q: 3. Verify using the Alternating series test that the series Σ(-1)", is n=1 convergent

A:

Q: For numbers 1 and 2, state whether each p-series converges or diverges (2 points each) 1 2. Zn=1 3n4…

A:

Q: Find the power series (centered at zero) of the function f ( x ) = 3 /4 + x2 and state the interval…

A: f(x) = 3/4+ x2  Interval of convergence is entire real line f(x) is a polynomial so it converges for…

Q: (-1)"+2 En=1 The series E.- is conditionally convergent n² True O False

A: Alternating Series: An infinite series whose terms are alternatively positive and negative is known…

Q: Write the first four terms of the Maclaurin series f(x) = 1/1+x. You may use either a related…

A:

Q: How can you proof that this series is Converges?

A: We have a series ∑x=1∞cx2 We can use the integral test for convergence. It says that ∑x=1∞ax…

Q: Use the geometric series to derive a power series for the function f(x) = 1 / (1-x). What is the…

A: