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Euler's formula combines i,e, sine and cosine in a single formula. It also tells us that a complex exponential is an oscillating function with a real and imaginary part. Euler's formula is: eix=isinx+cosx Use the power series expansion for ex to expand the left hand side of the equation above. Once you have done that group all the even terms and odd terms. Show that the even terms are all real terms and correspond to the power series expansion for cosine. Show that the odd terms are all imaginary and correspond to the terms for the power series expansion of sine. Recall that i=1,i2=1 and i3=i and so on. When doing this work I don't expect you to write out all of the infinity terms (phew) but write enough terms to make your assignments clear then end with an ellipsis. For instance the power series expansion for eax=1+ax+2(ax)2+3!(ax)3+4!(ax)4+ 5!(ax)5+ Your first step will be similar but for the exponent ix