Limit Comparison Test : Problems & Solutions : Infinite Series #Limit #Comparison #Test : #Problems #& #Solutions : #Infinite #Series

Problems & Solutions :

 Test for convergence of Σ (2n-1)/n(n+1)(n+2).                                                                Back

Solution :

Test for convergence of  1+ 4/5 + 6/10+ 8/17+ …+ 2n/(n²+1)+ …

Solution:

Test for convergence of  1.2/3.4.5 + 2.3/4.5.6+ 3.4/5.6.7 + …

Solution :

Test for convergence of Σ1/ n^( 𝜶+( 𝜷/n)).

Solution :

Test for convergence of Σ 1/( 2ⁿ+3ⁿ).

Solution :

Test for convergence of Σ (√(n+1) - √n ).

Solution :

Test for convergence of Σ ( √ (n²+1) – n ).

Solution :

Test for convergence of  Σ ( √(n³+1) - √( n³)  ).

Solution : 

Test for convergence of Σ ( √ (n⁴+1) - √ ( n⁴-1) ).