1. Evaluate the following limits. a. (7 - x)(2+2x) / (3- 6x)(9+5x) = lim x --> +
ID: 2833386 • Letter: 1
Question
1. Evaluate the following limits.
a. (7 - x)(2+2x) / (3- 6x)(9+5x) =
lim x --> +infinity
b. (7-x)(2+2x) / (3-6x)(9+5x) =
lim x--) -infinity
2. Evaluate the followuing limits.
a. 9 / e^x + 3 =
lim --> +inifinity
b. 9 / e^x + 3 =
lim --> -infinity
3. Evaluate the follow limits.
a. 3 + 11x / 11 -6x =
lim x --> +infinity
b. 3 + 11x / 11 -6x =
lim x --> -infinity
4. let f(x) = sqrt(-3 - x) +4 if x <= -4
let f(x) = 4 if x = -4
let f(x) = 4x + 21 if x> - 4
Calculate the follow limits.
a.lim x --> -4^-
b. lim x ---> -4^+
c. lim x --> -4
Explanation / Answer
1.
a. = lim x^2 (7/x - 1)(2/x + 2) / x^2(3/x - 6)(9/x+5)
= -1(2) / (-6)(5) = -2 / -30 = 1/15
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b. do same thing :
you get : (-1)(2) / (-6)(5) = 1/15
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2.
a. = 9 / (limx -> inf e^x) + 3 = 9 / inf = 0
b. = 9 / (limx -> inf e^-x) + 3 = 9 / (0+3) = 3
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