Question: By retaining only the first two terms in the Taylor series of the function, expanded about the point \(x=a\), obtain the equation of the tangent line of its curve at \(x=a\) :

1. \(\quad f(x)=e^{-x^{2}} ; a=2\)
2. \(\quad f(x)=\cos (3 x) ; a=-1\)
3. \(\quad f(x)=3 \sin (x) \cos (x / 2) ; a=1\)

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