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Use a power series to approximate the definite integral,

17 

Use a power series to approximate the definite integral, \(I\), to six decimal places.

$$ \int_{0}^{0.4} \frac{x^{5}}{1+x^{7}} d x $$


Find the radius of convergence, \(R\), of the series.

$$ \sum_{n=1}^{\infty} \frac{x^{n+4}}{4 n !} $$

$$ R= $$

Find the interval, \(I\), of convergence of the series. (Enter your answer using interval notation.) \(I=\)

17. [0/0.8 Points] DETAILS PREVIOUS ANSWERS SCALCET8 11.9.032. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a power series3. [-70.8 Points] DETAILS SCALCET8 11.8.007.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the radius of convergence, R,


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