Questions from General Calculus

Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

Q: Evaluate f ex/x dx as an infinite series.

Evaluate f ex/x dx as an infinite series.

Q: Use series to approximate f10√1 + x4, dx correct

Use series to approximate f10√1 + x4, dx correct to two decimal places.

Q: (a). Approximate f by a Taylor polynomial with degree at

(a). Approximate f by a Taylor polynomial with degree at the number a. (b). Graph f and Tn on a common screen. (c). Use Taylor’s Inequality to estimate the accuracy of the approximat...

Q: (a). Approximate f by a Taylor polynomial with degree at

(a). Approximate f by a Taylor polynomial with degree at the number a. (b). Graph f and Tn on a common screen. (c). Use Taylor’s Inequality to estimate the accuracy of the approximat...

Q: Use series to evaluate the following limit. limx→0

Use series to evaluate the following limit. limx→0 sin x – x/ x3

Q: (a). Find the Taylor polynomials up to degree 6 for

(a). Find the Taylor polynomials up to degree 6 for f (x) = cos x centered at a = 0. Graph f and these polynomials on a common screen. (b). Evaluate f and these polynomials at x = π/4, π/2, and π. (c)...

Q: (a). Find the Taylor polynomials up to degree 3 for

(a). Find the Taylor polynomials up to degree 3 for f (x) = 1/x centered at a = 1. Graph f and these polynomials on a common screen. (b). Evaluate f and these polynomials at x = 0.9 and 1.3. (c). Comm...