MAT136H1 Midterm: 11.4 Comparison Tests Question #2 (Medium)
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The key is to come up with a much simpler function that is obvious as to whether is it convergent or divergent. Then comparing to this simpler function, reflect back on the original function and based on that derive whether the original function also diverges or converges. In order to set up a simpler function in comparison to the original series function, look at numerator and see if constant terms can be eliminated, and if so, what effect it has to the function. Then look at the denominator and see if there are any ways to eliminate constant terms. Then, since the new function has smaller denominator. ( )( ) since the numerator is no longer being subtracted by the constant terms, the newer function is greater.