Tutorial Exercise Find a power series representation for the function. Determine the interval of convergence. (Give your power series representation centered at x = 0.) Step 1 Step 2 We need to express f(x) = Step 3 = f(x) = We can re-write f(x) = Step 4 n=0 Now, we can use r= Step 5 4+x 4+x -(-4 n=0 J F(x) = We can re-write this as f(x)= We can re-write n-0 Therefore, f(x) = Submit 4 + x in the form as f(x) = 1 ✓ 4+x n=0 #Σ (7) (-1) n=0 1 1-r -*-() as 1- Skip (you cannot come back) M. and then use the following equation. 1 ✓ is equivalent to the following. ger
Tutorial Exercise Find a power series representation for the function. Determine the interval of convergence. (Give your power series representation centered at x = 0.) Step 1 Step 2 We need to express f(x) = Step 3 = f(x) = We can re-write f(x) = Step 4 n=0 Now, we can use r= Step 5 4+x 4+x -(-4 n=0 J F(x) = We can re-write this as f(x)= We can re-write n-0 Therefore, f(x) = Submit 4 + x in the form as f(x) = 1 ✓ 4+x n=0 #Σ (7) (-1) n=0 1 1-r -*-() as 1- Skip (you cannot come back) M. and then use the following equation. 1 ✓ is equivalent to the following. ger
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Question
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skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Find a power series representation for the function. Determine the interval of convergence. (Give your power series representation
centered at x = 0.)
Step 1
1-r
We need to express f(x) =
Step 2
Step 3
f(x) =
f(x) =
We can re-write f(x) =
Step 4
n=0
=
Now, we can use r = -
Step 5
1
4+x
1
4 + x
-£(
n=0
n
1
e f(x) = 4x as f(x) = 1.
We can re-write
f(x) =
Submit
We can re-write this as f(x) =
Therefore, f(x) =
-Σ(
n=0
x
1
in the form
4 + X
4
1-r
(4) as
=
✓
+X
--- ()
n=0
n=0
=
1
1-r
Skip (you cannot come back)
1-
n=0
and then use the following equation.
1
is equivalent to the following.
✓](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c596130-d6d2-47f1-9297-2ac7a2d21c77%2F7b186b43-9098-4d9e-9758-88cfe04fcc7f%2Fhkgqo3n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:webassign.net
skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Find a power series representation for the function. Determine the interval of convergence. (Give your power series representation
centered at x = 0.)
Step 1
1-r
We need to express f(x) =
Step 2
Step 3
f(x) =
f(x) =
We can re-write f(x) =
Step 4
n=0
=
Now, we can use r = -
Step 5
1
4+x
1
4 + x
-£(
n=0
n
1
e f(x) = 4x as f(x) = 1.
We can re-write
f(x) =
Submit
We can re-write this as f(x) =
Therefore, f(x) =
-Σ(
n=0
x
1
in the form
4 + X
4
1-r
(4) as
=
✓
+X
--- ()
n=0
n=0
=
1
1-r
Skip (you cannot come back)
1-
n=0
and then use the following equation.
1
is equivalent to the following.
✓
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