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hello! I am in Calc 2 and have a HUGE t*st today I REALLY need to do well on and I am super confused about

hello! I am in Calc 2 and have a HUGE t*st today I REALLY need to do well on and I am super confused about how to rewrite Maclaurin and Taylor series in summation form. I can write out the terms...but how do I fit it in this format? Here's an example from my practice assignment, if you could show me and briefly explain that would help me so much!

Thanks!! I'm so stuck on this and today is extremely important to my grade...like crucial actually lol. The tutors here are the best I appreciate the help!!!

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Find the Maclaurin expansion for the function. f (x ) = e-x K = 0 X Determine the interval of convergence. (Enter your answer using interval notation.)

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