summation - Finding Sum of First Terms

Hello I was wondering if I could get some help trying to find a sum of the first three terms in series.

The problem statement is:

"Write the first three terms in the series for $y(t) = e^{t^2}$, and us it to approximate y(2)"

I know that I need to use the Taylor series to calculate this, but for some reason when I try to use it I am struggling with the $t^2$ part.

Thanks for the help!