NOTE: A very few of these limits don't exist. In those cases, write DNE. 1. (Linear Functions) a) lim 3x + 4 = b) lim 3x + 4 = 6113 2. (Quadratic Functions) a) _lim 3x² - 4x + 7 = b) lim 3x² - 4x + 7 = 7113 3. (General Polynomials) a) lim 3x² - 4x + 7 = 4. (Square Root Functions) a)_lim √√3x + 4 = 5. (Sine and Cosine) a) lim sin x = V 6. (Rational Functions) a) lim : 4-5 X 1 x-4' x-4 f) lim- c) lim cos x = VID g) lim ¹- x-o ex b) lim¹= d) lim ln x = c) lim 7. (Exponential and Logarithmic Functions) a) lim e* = c) lim e* = e) lim In x = x-0 0+ h) lim --= 48x² g) lim ¹ i) lim¹= x41x7x b) lim 3x² - 4x + 7 = 1113 c) lim 3x + 4 = 7-8 b) lim √3x + 4 = x-04 b) lim sinx = d) lim ¹ b) lim j) lim e) lim - vim x² f) lim In x = x-1 x-0+ 1-ex
NOTE: A very few of these limits don't exist. In those cases, write DNE. 1. (Linear Functions) a) lim 3x + 4 = b) lim 3x + 4 = 6113 2. (Quadratic Functions) a) _lim 3x² - 4x + 7 = b) lim 3x² - 4x + 7 = 7113 3. (General Polynomials) a) lim 3x² - 4x + 7 = 4. (Square Root Functions) a)_lim √√3x + 4 = 5. (Sine and Cosine) a) lim sin x = V 6. (Rational Functions) a) lim : 4-5 X 1 x-4' x-4 f) lim- c) lim cos x = VID g) lim ¹- x-o ex b) lim¹= d) lim ln x = c) lim 7. (Exponential and Logarithmic Functions) a) lim e* = c) lim e* = e) lim In x = x-0 0+ h) lim --= 48x² g) lim ¹ i) lim¹= x41x7x b) lim 3x² - 4x + 7 = 1113 c) lim 3x + 4 = 7-8 b) lim √3x + 4 = x-04 b) lim sinx = d) lim ¹ b) lim j) lim e) lim - vim x² f) lim In x = x-1 x-0+ 1-ex
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:NOTE: A very few of these limits don't exist. In those cases, write DNE.
1. (Linear Functions) a) lim 3x + 4 =
2. (Quadratic Functions) a) lim 3x² - 4x + 7 =
3. (General Polynomials) a) lim 3x² - 4x + 7 =
4. (Square Root Functions) a)_lim √3x + 4 =
+00
5. (Sine and Cosine) a) lim sin x =
6. (Rational Functions)
a) lim¹ =
Y-0-X
1
x-4' x-4
f) lim.
c) lim cos x =
c) lim ex =
X-0
g) lim—¹=
x-o ex
b) lim¹ =
Fn+x
d) lim ln x =
7. (Exponential and Logarithmic Functions) a) lim e*:
+00
h) lim=
·∞0 ex
b)_lim 3x + 4 =
g) lim¹ =
X-4-X-4
-3
b) lim 3x² - 4x + 7 =
4113
c) lim= d) lim ==
von x²
4-3 X
e) lim In x =
10+
i) lim 1
x-18 ex
c) lim 3x + 4 =
410
b) lim 3x² - 4x + 7 =
4113
b) lim √3x + 4 =
x-0+
b) lim sin x =
TA3
e) lim
TA3x²
b) lim e* =
8118
f) lim ln x =
x-1
j) lim ¹
x-0+ 1-ex
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