Use the Ratio Test to Determine If the Series Converges$$\sum _ { n = 1 } ^ { \infty } \frac { ( 2 n ) ! } { 2 ^ { n } ( n ! ) ^ { 2 } }$$

Question

Examlex · Accepted Answer

The Answer of Use the Ratio Test to Determine If the Series Converges$$\sum _ { n = 1 } ^ { \infty } \frac { ( 2 n ) ! } { 2 ^ { n } ( n ! ) ^ { 2 } }$$

Use the Ratio Test to Determine If the Series Converges $\sum _ { n = 1 } ^ { \infty } \frac { ( 2 n ) ! } { 2 ^ { n } ( n ! ) ^ { 2 } }$

Definitions:

Use the Ratio Test to Determine If the Series Converges ∑n=1∞(2n)!2n(n!)2\sum _ { n = 1 } ^ { \infty } \frac { ( 2 n ) ! } { 2 ^ { n } ( n ! ) ^ { 2 } }n=1∑∞​2n(n!)2(2n)!​

Definitions:

Use the Ratio Test to Determine If the Series Converges $\sum _ { n = 1 } ^ { \infty } \frac { ( 2 n ) ! } { 2 ^ { n } ( n ! ) ^ { 2 } }$