Page 338 - Calculus Demystified

Final Exam
(b) −1 325
(c) 0
(d) +∞
(e) 2
√ √
56. The limit lim 3 x + 1 − 3 x equals
x→+∞
(a) 2
(b) 1
(c) 0
(d) −2
(e) −1
4 1

57. The improper integral √ dx equals
1 x − 1
√
(a) 3 − 1
√
(b) 2( 3 − 1)
√
(c) 2( 3 + 1)
√
(d) 3 + 1
√
(e) 3

∞ x
58. The improper integral 4 dx equals
1 1 + x
π
(a)
3
π
(b)
2
π
(c)
8
2π
(d)
3
3π
(e)
4
59. The area under the curve y = x −4 , above the x-axis, and from 3 to +∞,is
2
(a)
79
1
(b)
79