# A Conditionally Convergent Series

Calculus Level 3

The value of the following conditionally convergent series can be expressed in the form $$\ln{(a)} + b$$ where $$a$$ and $$b$$ are integers and the natural logarithm is fully simplified. What is the value of $$a + b$$?

$$\displaystyle \sum_{n=1}^{\infty} (-1)^{n} \frac{1}{n+1}$$

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