Evaluate 1/3 x 14/21
2 answers:
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Answer:
Here is the full question:
Find the sum of the convergent series by using a well-known function. (Round your answer to four decimal places.) Σ_(n=1)^∞ (-1)^n+1 1/7^n n
Step-by-step explanation:
Σ_(n=1)^∞ (-1)^n+1 1/7^n n
We will use the function In (1 + x)
We will now give a power series expansion of the function while it is centered at x=0
This will give us In (1 + x) = Σ_(n=1)^∞
Note that x= 1/7
Now let us equate the two equations
Σ_(n=1)^∞ = ㏑(1 + x)|
= ㏑
Sum of the series will give ㏑