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I was reading the average reward setting for continuous tasks from rich sutton's book (page 202, 2nd edition). There he perform a simplification over the expected reward under the limit approaching to infinite. I mark this point in this picture: enter image description here

The book does not clearly mention the steps to simplify the above expression. I search on the web to find the solution but there is no clear explanation on that. Can anyone explain the marked point?

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