DP Mathematics HL Questionbank

Description

Directly related questions

• 16M.3ca.hl.TZ0.1c: (i)     Use the Lagrange form of the error term to find an upper bound for the absolute value of...
• 16M.3ca.hl.TZ0.1b: Hence, or otherwise, determine the exact value of...
• 16M.3ca.hl.TZ0.1a: By finding a suitable number of derivatives of $f$, determine the Maclaurin series for $f(x)$...
• 16N.3ca.hl.TZ0.4c: Hence show that, for $h > 0$ $1 - \cos (h) \leqslant \frac{{{h^2}}}{2}$.
• 16N.3ca.hl.TZ0.4b: (i)     Find $g(0)$. (ii)     Find $g(h)$. (iii)     Apply the mean value theorem to the...
• 16N.3ca.hl.TZ0.4a: State the mean value theorem for a function that is continuous on the closed interval...
• 16N.3ca.hl.TZ0.2c: By applying the ratio test, find the radius of convergence for this Maclaurin series.
• 16N.3ca.hl.TZ0.2b: Deduce that, for $n \geqslant 2$, the coefficient of ${x^n}$ in this series is...
• 16N.3ca.hl.TZ0.2a: By successive differentiation find the first four non-zero terms in the Maclaurin series for...
• 15M.3ca.hl.TZ0.5a: The mean value theorem states that if $f$ is a continuous function on $[a,{\text{ }}b]$ and...
• 15M.3ca.hl.TZ0.5b: (i)     The function $f$ is continuous on $[a,{\text{ }}b]$, differentiable on...