Using the Integral Test In Exercises 3-22, confirm that the Integral Test con be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series. ∑ n = 1 ∞ 1 ( 2 n + 3 ) 3
Using the Integral Test In Exercises 3-22, confirm that the Integral Test con be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series. ∑ n = 1 ∞ 1 ( 2 n + 3 ) 3
Solution Summary: The author calculates that the integral test can be possible for the given series displaystyle
Using the Integral Test In Exercises 3-22, confirm that the Integral Test con be applied to the series. Then use the Integral Test to determine the convergence or divergence of the series.
∑
n
=
1
∞
1
(
2
n
+
3
)
3
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
j)
f) lim
x+x ex
g) lim Inx
h) lim x-5
i) lim arctan x
x700
lim arctanx
811x
4. Evaluate the following integrals. Show your work.
a)
-x
b) f₁²x²/2 + x² dx
c) fe³xdx
d) [2 cos(5x) dx
e) √
35x6
3+5x7
dx
3
g) reve
√ dt
h) fx (x-5) 10 dx
dt
1+12
I just need help with evaluating these limits.
Chapter 9 Solutions
Bundle: Calculus: Early Transcendental Functions, Loose-leaf Version, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, 6th Edition, Multi-Term
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