Series

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Across
  1. 5. Upper end of the interval of convergence for a series whose ratio test produces (2x-3)/3
  2. 7. When considering the harmonic series, 1/(n^1/2) diverges by this test
  3. 8. Convergence test that automatically tests for absolute convergence
  4. 9. Finding the series representing cosine by taking the derivative of the sine series is called this
  5. 11. The exponents included in the series representing the sine function
  6. 13. Type of series which converges when its terms approach zero by its namesake test
  7. 16. When the nth term test returns a real number this is the outcome with regards to convergence
  8. 17. The difference between the real value of f(4.6) and its approximation with the taylor polynomial of f(x) of what degree is bound by the third degree term of that taylor polynomial
  9. 19. Operation represented by an exclamation point
  10. 20. What the taylor series with the second degree term 4(x+12)^2 is centered around
  11. 21. Test that can be used to prove the p-series test
  12. 22. The conditions for the integral test are continuous, positive, and what
Down
  1. 1. Type of series whose sum can be determined when it converges
  2. 2. The denominator of the fourth degree term of the taylor polynomial representing f(x)
  3. 3. A power series centered at zero
  4. 4. What is the sum of convergence of the series with a common ratio of -1, and a starting term of 14
  5. 6. When the outcome of this test is a real, non-zero number, then either both series converge or both series diverge
  6. 10. Does the series with the alternating harmonic series converge conditionally, absolutely, or neither
  7. 12. Does the infinite series represented by the nth term (n^-0.7) converge or diverge
  8. 14. The second derivative at zero of the function represented by a Maclaurin series whose second degree term is (19x^2)/2
  9. 15. When this test does not return a zero, the series diverges
  10. 18. Symbol denoting the addition of the terms in a series