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Midterm

# 11.4 Comparison Tests Question #2 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
11.4 Infinite Sequences & Series Comparison Tests Question #2 (Medium): Comparison Test Strategy 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. Sample Question Determine if the series converges or diverges. ( )( ) ∑ ( )( ) Solution 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. Would the new function without the constant factor
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