Integral Test Use the Integral Test to determine whether the fallowing series converge after showing that the conditions of the Integral Test are satisfied. 20. ∑ k = 1 ∞ e k 1 + e 2 k
Integral Test Use the Integral Test to determine whether the fallowing series converge after showing that the conditions of the Integral Test are satisfied. 20. ∑ k = 1 ∞ e k 1 + e 2 k
Solution Summary: The author analyzes whether the series displaystyle 'underset' converges using the Integral Test.
Integral Test Use the Integral Test to determine whether the fallowing series converge after showing that the conditions of the Integral Test are satisfied.
20.
∑
k
=
1
∞
e
k
1
+
e
2
k
Formula Formula d d x f g = g × d d x f - f × d d x g g 2 , i f g ≠ 0
k(2+2i)k
3k
answer and specify which convergence or divergence tests you used.
(14) 4. Decide if the series E,
converges or diverges. Explain your
(15) 5. Find all values of i'.
Jause the series ER=1(41)kt1) =
(-1)k+1xk
determine the Maclaurin series and the interval of convergence for the function
f(x) = ln (1-5x²). Write out the series using summation notation and write it out as a sum of at
least the first 4 terms (with ellipsis).
b)
Use the series for f(x) = ln (1-5 x²) that you found in part (a) to evaluate the limit:
limx-0
= In (1+x), for-1 < x≤ 1 to
5x²+In(1-5x2)
3x4
q5
Chapter 10 Solutions
Single Variable Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)
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