DP Mathematics HL Questionbank

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Directly related questions

• 18M.3ca.hl.TZ0.3d: Find an upper bound for $\sum\limits_{n = 4}^\infty  {\frac{1}{{{n^3}}}}$.
• 18M.3ca.hl.TZ0.3c: Hence write down a lower bound for $\sum\limits_{n = 4}^\infty  {\frac{1}{{{n^3}}}}$.
• 18M.3ca.hl.TZ0.3b: Illustrate graphically the...
• 18M.3ca.hl.TZ0.3a: Find the value of $\int\limits_4^\infty  {\frac{1}{{{x^3}}}{\text{d}}x}$.
• 12N.3ca.hl.TZ0.3c: Let $\sum\limits_{n = 1}^\infty  {\frac{1}{{{n^2}}}}  = L$ . The diagram below shows the graph...
• 08M.3ca.hl.TZ1.4: (a)     Using the diagram, show that...
• 13M.3ca.hl.TZ0.5b: An improved upper bound can be found by considering Figure 2 which again shows part of the graph...
• 13M.3ca.hl.TZ0.5a: Figure 1 shows part of the graph of $y = \frac{1}{x}$ together with line segments parallel to...
• 11N.3ca.hl.TZ0.4b: (i)     Show, by means of a diagram, that...
• 15N.3ca.hl.TZ0.4b: Use the inequality in part (a) to find a lower and upper bound for $\pi$.