Ignore the fact that it says limit because when sin (pi) is here it is not an Undefined Point, whatever value the calculator says is sin(pi) is the answer.
The solution to the problem is as follows:
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the genaral term is 5Cr(-1)^r 2^r x^(5-2r)
and so need 5-2r = -1 => r = 3
Coeff is then 5C3 (-1)^3 2^3 = -80
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