I am having a hard time understanding this weeks material. Please help here are some examples

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Calculate the first four terms for the MacLaurin series expansion of the following function: f(u) = e-24Given the following series, calculate and shew '31; I132; G3: '34.: 51: 52; 53.- 54; EMS-'5 State whether the series is geemetric er net, and if it is gecimetric, state whether it is convergent er divergent and the limit, if it exists. 3 = 23 5(. s)\" Utilizing the table on page 867 in your textbook, or a comparable table of integrals, integrate the following using trigonometric substitution: dx x21 x2 - 4 To earn full credit, show all substitutions and all steps in your solution