Ax) = } * sinh(0) –ldt, - = 0 -ex 11. Construct a Taylor series, using the standard Taylor series for et, for f x > 0 a.

[answerhappygod]

Ax Sinh 0 Ldt 0 Ex 11 Construct A Taylor Series Using The Standard Taylor Series For Et For F X 0 A 1 (67.15 KiB) Viewed 24 times

Ax) = } * sinh(0) –ldt, - = 0 -ex 11. Construct a Taylor series, using the standard Taylor series for et, for f x > 0 a. Determine a natural definition for f(0). b. Use your Taylor series, truncated after 3 terms, to estimate f(0.1) and f(0.01). 12. Consider the identity Av) = le +Se="d = lip x2 ,.x = 0 Explain the difficulty in using the right-hand fraction to evaluate this expression when x is close to zero. Give a way to avoid this problem. 13. Approximate the following integral, using n = 6, and give the relative error for each method (use calculus to find the exact answer.) S<r* – 2x2 - 6x + 4)dx = a.) Trapezoid rule. relative error = b.) Simpson's rule. relative error