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## Homework Statement

Find the first 4 nonzero terms of:

[itex]e^{t}cos(t)[/itex]

## Homework Equations

## The Attempt at a Solution

I am trying to multiply the terms of two known series for my answer, but I'm not sure how to do it efficiently.

Should I list 4 terms of each series, then multiply them as if they were just normal polynomials?

EDIT, I tried doing that and it is completely unfeasible. What's the correct way?

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