Calculus 2 Quiz
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INTEGRATION FOUNDATIONS
Question 1
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Which of the following summation expressions, when the limit is taken as
n
→
∞
n \to \infty
n
→
∞
, represents
∫
0
1
e
−
2
x
d
x
\int_0^1 e^{-2x} dx
∫
0
1
e
−
2
x
d
x
?
A
∑
i
=
1
n
e
−
2
i
/
n
2
n
\sum_{i=1}^n e^{-2i/n} \frac{2}{n}
∑
i
=
1
n
e
−
2
i
/
n
n
2
B
∑
i
=
1
n
e
−
i
/
n
1
n
\sum_{i=1}^n e^{-i/n} \frac{1}{n}
∑
i
=
1
n
e
−
i
/
n
n
1
C
∑
i
=
1
n
e
−
2
i
/
n
1
n
\sum_{i=1}^n e^{-2i/n} \frac{1}{n}
∑
i
=
1
n
e
−
2
i
/
n
n
1
D
∑
i
=
0
n
−
1
e
−
2
(
i
+
1
)
/
n
2
n
\sum_{i=0}^{n-1} e^{-2(i+1)/n} \frac{2}{n}
∑
i
=
0
n
−
1
e
−
2
(
i
+
1
)
/
n
n
2
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