Is the Solution to the Equivalent Impedance Problem Correct?

[ness9660]

Given this problem and its solution:

http://img230.imageshack.us/img230/9239/quest13lf.gif


I think the given solution is wrong. The equivalent impedence is R + jwL || 1/jwC, right?

When I work out jwL || 1/jwC, I get ((jwL) * (1/jwC))/ (jwL + 1/jwC) = jwL / (j(w^2)CL + 1).


However the given solution has 1- j(w^2)CL instead of my 1 +.

Ive worked this out every way I could think of, is the given solution correct, or am I correct?

 

[ness9660]

Nevermind, I feel dumb now.

I completely missed that j^2=-1