00 n + 1 57 Considerthe following series: 2 (1]\"% 11:1 We will test this series for convergence or divergence. {i} What test(s} is[are} applicable to test this series? ' Click for List V ' . (ii) Evaluate lim \"+1 nioo an nemllH in for this series where an is the nth term and an +1 is the [n + 1]th term of the series. {iii} Determine whether this series converges or diverges. O Converges 0 Diverges Consider the following series: E(-1)2 (n+1)57 5712 n=1 We will test this series for convergence or divergence. (i) What test(s) is(are) applicable to test this series? Click for List Ratio test for this series where an is the n-th term and any is the (n + 1)th term of the series. Root test Alternating series test All of the above es converges or diverges. O Converges O Diverges3n 58 + n 57 + 1 Consider the following series: n=1 4n58 + 5n56 + 10 We will test this series for convergence or divergence. () What test(s) are applicable to test this series? Click for List (i) Determine whether this series converges or diverges. O Diverges O Converges\":1 4n53 + 51156 + 10 We will test this series for convergence or divergence. Consider the following series: (i) What test{s} are applicable to test this series? Click for List A Divergence test Limit comparison test es converges or diverges. Both of them Neither of them n +1 Consider the following series: n=1 n We will test this series for convergence or divergence. (i) What test(s) is(are) applicable to test this series? Click for List (ii) Determine whether this series converges or diverges. O Converges O Divergesn +1 Consider the following series n=1 n We will test this series for convergence or divergence. (i) What test(s) is(are) applicable to test this series? Click for List Definition p-series test es converges or diverges. Alternating series test Geometric series test Divergence test All of the above00 1 Consider the following series: 51:1 52 We will test this series for convergence or divergence. (i) What test{s} is[are} applicable to test this series? Click for List v (ii) Determine whether this series converges or diverges. O Converges O Diverges 0 1 \":1 n52 We will test this series for convergence or divergence. Consider the following series: (i) What test{s} is[are} applicable to test this series? Click for List Integral test pseries test eries converges or diverges. Both of them Neither of them 0 (1)\" 85"'1 Consider the following sen'es: 11:1 We will test this series for convergence or divergence. {i} 1What test(s) is[are) applicable to test this series? Click for List V (ii) Determine whether this series converges or diverges. O Converges O Diverges {iii} What is the sum of the series? Note: Write the exact answer not the decimal approximation (for example write % not 0.8}. Answer: The sum of the series is ' n - 0 (-1)\" Consider the following series: 2 31:1 35\" We will test this series for convergence or divergence. {i} What test(s) is[are) applicable to test this series? Click for List A p-series test Geometric series test _ - s converges or diverges. Integral test Divergence test {iii} What is the sum of the series? Note: Write the exact answer not the decimal approximation (for example write % not 0.8}. Answer: The sum of the series is JED (In(n)) 12 Consider the following series n n=1 (i) What test(s) is(are) applicable to test the convergence or divergence of this series. O Root test O Integral test O Ratio test O Geometric series test (ii) Does this series converge? O Yes O NoConsider the following series n35 + 44n34 + 34 n=1 121n74 + 85n72 + 60 (i) What is the appropriate series to compare with this series to do a limit comparison test. n=] n2 1 n=1 V121n 1 O C n=1 n35 1 O C n=] n74 (ii) If an and by are the n-th terms of given series and the test series respectively then find lim an n-+00 bn lim an (ii) Does the given seris converge? O Yes O No\"C\" n26 4&125 4:. \"=1 n65 + 947153 + 74 (i) What is the appropn'aie series to compare with this series to do a comparison test. Consider the following series 0 1 GEE 0" 1 0 1 m on; :39 (ii) Does this series converge? 0 Yes 0 No