2( – 1)*+1 k(k + 6) By the alternating series test, the series converges. Find its sum. First find the partial fraction decomposition of k(k + 6) 2 k(k + 6) 3k 3(k + 6) Then find the limit of the partial sums. 2( – 1)*+ k(k + 6) 00 Enter your answer for the sum as a reduced fraction. Hint: The alternating series is a telescoping series. Write down its terms using the partial fraction decomposition until some terms cancel.

Q: Find the limits by rewriting the fractions first.

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Q: Find the limits

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Q: %#314 Find the limit Tim メ→3 X+3

A: To find the limit: limx→3- x+2x+3 Therefore we have to find the Left Hand Limit of x = 3.

Q: (a) lim 47:17 Sx 3x-14 1. Find the limit:

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Q: Please show step-by-step solution

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.