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We are studying the electric charge \( f(x) \) in a capacitor in an RLC circuit at any time \( x \) in seconds. We have the Taylor series for this function: \[ 3(x-2)+(x-2)^{2}-4(x-2)^{3}+2(x-2)^{4}+\ldots \] What is the electric charge in the capacitor at exactly 2 seconds? What is \( f^{(4)}(2) \) ?
2. What is the easiest way to find the Maclaurin series for the function \( f(x)=e^{x^{3}} \) ?

The taylor series for f(x) at x=a is f(x)=?n=0?f(n)(a)n!(x?a)n=f(a)+f?(a)(x?a)+f?(a)2!(x?a)2+f?(a)3!(x?a)3+f(4)(a)4!(x?a)4+?