4. Determine the convergence behavior of the series Σan for: (a) an √n+1-√n (b) an =(√n+1-√√n)/n Hint: use (a - b) = (c) an (n-1)" = = a²-6² a+b

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Q: c. If the series has a sum, find the sum.

A: -12Explanation:If you have any questions let me know in comment box thankyou for your question.

Q: 3. Give an example of divergent series n=1dn and Ln=1 6n for which the series ("q + "p) converges.

A: Given: that An example of divergent series ∑n=1∞ an and ∑n=1∞ bn for which the series  ∑n=1∞ an+bn…

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