Study Guides (238,491)
Calculus (42)
Midterm

# Summary and Strategies for Convergent Tests.docx

2 Pages
256 Views

School
Western University
Department
Calculus
Course
Calculus 1301A/B
Professor
Natalia Kiriushcheva
Semester
Winter

Description
Summary and Strategies for Convergent Tests Type Strategy Condition for Convergency Sequences (function) a n Converges at existing limit (each term approaches it) r |r| < 1 Sum Sn Converges at existing limit (sum of series = limit) Telescoping Converges at existing limit Geometric n n-1 Series ∑ r = (r)r |r| < 1 converging at Harmonic ∑ Diverges Series -p P Series ∑ n = p > 1 converging at General ∑ ≠ 0  divergent = 0  inconclusive, use the following tests ∫ Positive and decreasing at [a,∞)  Integral (easy to integrate) Finite number ≤ b  Comparison n If n converges through other tests, then converges ≥ bn If n diverges through other tests, then diverges positive series If test fails, use limit comparison  Limit Comparison L > 0 (since series always positive, L > 0) Alternating ∑ = 0 Series cos(n)  (-1) an+1< an(decreasing)  Harmonic Series Conv
More Less

Related notes for Calculus 1301A/B

OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Join to view

OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.