Which of the following series is absolutely convergent? A) B) C) D)
The power series converges for which values of x? A) B) C) D) is any real number.
Which of the following series is the power series expansion for . A) B) C) D)
If the first five terms of the Taylor expansion for about are ,then A) B) C) D)
Which of the following series diverge? A)I only B)II only C)I and II only D)I and III only
The sixth degree term of the Taylor series expansion for about has coefficient A) B) C) D)
Let represent the Taylor Polynomial of degree n about for .If is used to approximate the value of ,then which of the following expressions is NOT less than ? A) B) C) D)
For function Using the Taylor series expansion for about ,the second degree estimate for is A)4.335 B)4.750 C)4.420 D)5.240
If ,the first three terms of the Taylor series expansion about for are A) B) C) D)
Let be a function that is differentiable for all .The Taylor expansion for about is given by The first four nonzero terms of are given by -Show that converges for all .