lab14.mws Lab Overview Example 1: Sum( k/(k+1), k=1..infinity ) Example 2: Sum(1/k,k = 1 .. infinity); Example 3: Sum(3*n/(n^3+1),n = 1 .. infinity); Integral Test Limit Comparison Test Approximating the Sum of the Series Example 4: Sum((-1)^n*(1/2)^(2*n+1)/(2*n+1)!,n = 1 .. infinity); Alternating Series Test Ratio Test Approximating the Sum of the Series Lab Questions 1. [2 pts] Sum( 1/n^4 , n=1..infinity ) 2. [2 pts] Sum( 1/(n*(ln(n))^2), n=2..infinity ) 3. [2 pts] Sum( (exp(n)-1)/(5^n+1), n=0..infinity ) 4. [2 pts] Sum( (n^5+3*n^4+2)/(n^8+2*n^5+1), n=0..infinity ) 5. [Extra Credit: 2pts] 6. [Integration Problem: 2 pts] 7. [Integration Problem: 2 pts]