DP Mathematics HL Questionbank

Tests for convergence: comparison test; limit comparison test; ratio test; integral test.
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[N/A]Directly related questions
- 18M.3ca.hl.TZ0.1b: Find the interval of convergence...
- 18M.3ca.hl.TZ0.1a: Given that n>lnn for n>0, use the comparison test to show that the...
- 16M.3ca.hl.TZ0.5c: Show that S<1.65.
- 16M.3ca.hl.TZ0.5b: (i) Use the substitution T=t−π in the expression for un+1 to show that...
- 16M.3ca.hl.TZ0.5a: Explain why the series is alternating.
- 16N.3ca.hl.TZ0.3c: Using a suitable test, determine whether this series converges or diverges.
- 16N.3ca.hl.TZ0.3b: (i) Find a1 and a2 and hence write down an expression for an. (ii) Show...
- 12M.3ca.hl.TZ0.4d: Prove that the series ∞∑n=1(un−L) diverges.
- 12M.3ca.hl.TZ0.5b: Show that the series ∞∑r=2(−1)rrlnr is...
- 12N.3ca.hl.TZ0.3b: Use the integral test to prove that ∞∑n=11n2 converges.
- 12N.3ca.hl.TZ0.4a: Use the limit comparison test to prove that...
- 08N.3ca.hl.TZ0.2a: (i) Show that ∫∞11x(x+p)dx, p≠0 is...
- 11M.3ca.hl.TZ0.5b: (i) Show, by comparison with an appropriate geometric series,...
- 13N.3ca.hl.TZ0.1a: Consider the infinite series ∞∑n=12n2+3n. Use a...
- 15N.3ca.hl.TZ0.3b: Hence use the comparison test to prove that the series...
- 15M.3ca.hl.TZ0.3a: Show that the series ∞∑n=21n2lnn converges.
- 15M.3ca.hl.TZ0.3c: (i) State why the integral test can be used to determine the convergence or divergence of...