AP Calculus BC Practice Exam 1 381
ab 0
f
y
x
- The graph offis shown above, and
g(x)=
∫x
a
f(t)dt,x>a. Which of the
following is a possible graph ofg?
a 0 b
(A) y
x a 0 b
(B) y
x
a 0 b
(D) y
x
a
0
b
(C) y
x
- The series
∑∞
n= 1
(−1)n+^1
1
n
satisfies the hypotheses
of the alternating series test, i.e.,an≥an+ 1 , and
nlim→∞an=0. IfSis the sum of the series
∑∞
n= 1
(−1)n+^11 nandsnis thenthpartial sum, what
is the minimum value ofnfor which the
alternating series error bound guarantees that
|S−sn|< 0 .1?
(A) 9
(B) 10
(C) 99
(D) 100
STOP. AP Calculus BC Practice Exam 1 Section I Part A