APPLIED CALCULUS FOR MGRL, LIFE, SOC SCI
10th Edition
ISBN: 9780357465400
Author: Tan
Publisher: CENGAGE L
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Chapter B, Problem 12E
To determine
To evaluate: The value of
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Divide numerator and denominator by the highest power of x in the
denominator and proceed from there. Find the limits in Exercises 23–36.
8x² – 3
1/3
x² +
8x2 – 3
23. lim
x→0 V 2x? + x
24. lim
x--00
\5
x² – 5x
25. lim
x→-ox2 + 7x
26. lim
x→ o Vx + x – 2
2Vx + x!
2 + Vx
27. lim
28. lim
x00 2 - Vx
Зх — 7
Vx – Vĩ
VI + Vĩ
x' + x4
29. lim
30. lim
x→-00
VI
lim
32.
x--0 2x + x²/3 – 4
2x/3 – x'/3 + 7
5x + 3
31. lim
x-00 8/5 + 3x + Vx
Vx² + 1
Vx² + 1
33. lim
x00 x + 1
34. lim
x→-0 x + 1
4 - 3x3
lim
35. lim
x→∞ V4x? + 25
36.
x→-0 Vx6 + 9
Find the limits in Exercises 33–35 Are the functions continuous at the point being approached?
Find the limits in Exercises 125–132.
sin x
3x – tan 7x
125. lim
x0 2x? – x
126. lim
2x
x→0
sin (sin 0)
sin r
127. lim
128. lim
0 tan 2r
4 tan? 0 + tan 0
lim
+ 1
129.
tan² 0 + 5
0→(T/2)
– 2 cot? 0
1
130. lim
60* 5 cot? 0 – 7 cot 0 – 8
1 - cos 0
02
x sin x
131. lim
x→0 2 – 2 cos x
132. lim
0→0
Chapter B Solutions
APPLIED CALCULUS FOR MGRL, LIFE, SOC SCI
Ch. B - Prob. 1ECh. B - Prob. 2ECh. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Prob. 11ECh. B - Prob. 12ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Prob. 26ECh. B - Prob. 27ECh. B - Prob. 28ECh. B - Prob. 29ECh. B - Prob. 30ECh. B - Prob. 31ECh. B - Prob. 32ECh. B - Prob. 33ECh. B - Prob. 34E
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- Find the limits in Exercises 125–132. sin x 3x 126. lim- tan 7x 125. lim 0 2r 2x sin r sin (sin 0) 127. lim 128. lim o tan 2r 4 tan? 0 + tan 0 + 1 129. lim (/2) tan 0 + 5 1- 2cot 0 80 5 cot? 0 - 7 cot 0 - 8 130. lim x sin x 2 - 2 cos x cos 0 131. lim 132. limarrow_forwardIn Exercises 11–50, evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits that don't exist indicate whether they can be expressed as = -o or = ∞.arrow_forwardUse formal definitions to prove the limit statements in Exercises 95–98. -1 95. lim 96. lim x→0 x -2 98. lim x→-5 (x + 5)² 97. lim x→3 (x 3)2 ||arrow_forward
- For the function f graphed as follows, approximate each of the limits and values in Exercises 31–34: 3 1. + + -4 -3 -2/-1 1 2 4 -2- 31. lim f(x), lim f(x), lim_f(x), and f(-2). X-2- X-2+" X-2 32. lim f(x), lim f(x), lim f(x), and f(-1). x-1-* X-1+ X-1 33. lim f(x), lim f(x), lim f(x), and f(2). X2- x+2+ X+2 34. lim f(x), lim f(x), lim f(x), and lim f(x). x-00 3.arrow_forwardL'Hôpital’s Rule does not help with the limits in Exercises 67–74. Try it-you just keep on cycling. Find the limits some other way. Vx V9x + 1 67. lim x→0 Vx + 1 68. lim x-0* Vsinx cot x sec x 70. lim x0* csc x 69. lim x→(7/2)- tan x 2* 71. lim 3* 2* + 4* 72. lim x00 5* – 2* 3* + 4* х 74. lim x→0* e¯l/x lim 73.arrow_forwardUnit 3: Curve Sketching 12. When does a limit not exist?arrow_forward
- DAPAWAN Apply lim sin a = 1 to obtain the limit of the following: I. a-0 a sin5x 1. lim 2. lim 0 csc 20 tan?x MOCAT USM 1983 199s 3. lim sin2ß B-0 sin3ß 4. lim x2 5. lim X-0 tanx KIDAPAWAN CITY C tan3x 6. lim X-0 tan4x 7. lim xcsc2x DAPAWAN 8. lim xcot3x X-n 9. lim xn sin x Hint: let a = x – 1, then lim a-0 sin(a+n) 2y+n 10. lim y-- cos 0arrow_forwardDescribe the Limit Laws?arrow_forwardb) lim(1+ tan 3x)arrow_forward
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