16. The graph of the function \(f\) represented by the Maclaurin series \[ 1+2x+\frac{4x^2}{2!}+\frac{8x^3}{3!}+\frac{16x^4}{4!}+\cdots \] intersects the graph of \( y=2-x^3 \) at the point where \(x=\)






Answer is: option2

\(0.337\)

Solution:

The given Maclaurin series is for the function \[ f(x)=e^{2x} \]

We use the calculator to find the intersection of the curves \[ y_1=e^{2x} \qquad \text{and} \qquad y_2=2-x^3 \]

The intersection is at \[ x=0.337 \]

Previous Next