Try another version of this question Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Box 2: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Box 3: Select the best answer
Test the series below for convergence using the Ratio Test.
`sum_(n=0)^oo ((-1)^n 4^(2n+1))/((2n+1)!)`
The limit of the ratio test simplifies to `lim_(n rarr oo) |f(n)|` where
`f(n)=`
.
The limit is
.
(enter oo for infinity if needed)
Based on this, the series
.
Be sure your variables match those in the question `4^2/((2n+3)(2n+2))`
Enter DNE for Does Not Exist, oo for Infinity 0
converges