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## Homework Statement

A resistor and inductor are connected in series to a battery. The current in the circuit ( in A ) is given by I = 2.7(1-e

^{-0.1}), where t is the time since the circuit was closed. By using the series for e

^{x}, find the first three terms of the expansion of this function.

## Homework Equations

e

^{x}= 1 + x + x

^{2}/2! + ... + x

^{n}/n!

## The Attempt at a Solution

Would I substitute -0.1 for x in this expansion like so: e

^{x}= 1 - 0.1 - 0.1

^{2}/2! ? And then place this expansion into the original function 2.7(1-(1 - 0.1 - 0.1

^{2}/2!)) ?? And finally, multiply the 2.7 back in?

This isn't coming out to one of my answer choices. Where have I gone wrong in my setup?

Thanks!