Barrons AP Calculus

(Marvins-Underground-K-12) #1

BC 5.


BC 6.


(b)

(c)

(d)

1.

2.

3.

See solution    for AB/BC   5,  Review  Chapter 7.

(a) The series  is  a   geometric   series  with    common  ratio   (x−2).  The
series converges if |x−2| < 1 , so the interval of convergence is 1 < x
< 3 .
NOTE: Because this is geometric, there is no need to check
endpoints.
Geometric series with first term 2 and common ratio (x−2).

.

(Review Chapter 10)

1 Functions

(C) f(−2)   =   (−2)^3  −   2(−2)   −   1   =   −5.

(E) The denominator,    x^2 +   1,  is  never   0.

(D) Since   x   −   2   may not be  negative,   x 2.    The denominator equals  0   at
x = 0 and x = 1, but these values are not in the interval x ≥ 2.
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