Questions from General Calculus

Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.

Q: Express the number as a ratio of integers. 1.

Express the number as a ratio of integers. 1. ¯5342

Q: Find at least 10 partial sums of the series. Graph both

Find at least 10 partial sums of the series. Graph both the sequence of terms and the sequence of partial sums on the same screen. Does it appear that the series is convergent or divergent? If it is c...

Q: Express the number as a ratio of integers. 7.

Express the number as a ratio of integers. 7. ¯12345

Q: Find the values of x for which the series converges. Find

Find the values of x for which the series converges. Find the sum of the series for those values of x.

Q: Find the values of x for which the series converges. Find

Find the values of x for which the series converges. Find the sum of the series for those values of x.

Q: Find the values of x for which the series converges. Find

Find the values of x for which the series converges. Find the sum of the series for those values of x.

Q: We have seen that the harmonic series is a divergent series whose

We have seen that the harmonic series is a divergent series whose terms approach 0. Show that is another series with this property.

Q: (a). Determine whether the sequence defined as follows is convergent

(a). Determine whether the sequence defined as follows is convergent or divergent: (b). What happens if the first term is a1 = 2?

Q: Find a formula for the general term an of the sequence,

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues.