EBK SINGLE VARIABLE CALCULUS: EARLY TRA
8th Edition
ISBN: 9780176743826
Author: Stewart
Publisher: VST
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Textbook Question
Chapter G, Problem 4E
(a) By comparing areas, show that ln 2 < 1 < ln 3.
(b) Deduce that 2 < e < 3.
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2
Graph of h
6. The graph of the function h is given in the xy-plane. Which of the following statements is correct?
, the graph of h is increasing at an increasing rate.
(A) For
(B) For
(C) For
苏|4 K|4
π
π
, the graph of h is increasing at a decreasing rate.
2
0 and b>1
(B) a>0 and 01
(D) a<0 and 0
3.
Consider the sequences of functions fn: [-T, π] → R,
sin(n²x)
n(2)
n
(i) Find a function f : [-T, π] R such that fnf pointwise as
n∞. Further, show that f uniformly on [-T,π] as n→ ∞.
[20 Marks]
(ii) Does the sequence of derivatives f(x) has a pointwise limit on [-7,π]?
Justify your answer.
[10 Marks]
Good Day,
Please assist with the following.
Regards,
Chapter G Solutions
EBK SINGLE VARIABLE CALCULUS: EARLY TRA
Ch. G - Prob. 1ECh. G - Refer to Example 1. (a) Find the equation of the...Ch. G - By comparing areas, show that...Ch. G - (a) By comparing areas, show that ln 2 1 ln 3....Ch. G - Prob. 5ECh. G - Prob. 6ECh. G - Prove the third law of exponents for ex [see...Ch. G - Prove the second law of exponents [see (15)].Ch. G - Prove the fourth law of exponents [see (15)].Ch. G - Prob. 10E
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- For each given function f(x) find f'(x) using the rules learned in section 9.5. 1. f(x)=x32 32x 2. f(x)=7x+13 3. f(x) = x4 4. f(x) = √√x³ 5. f(x) = 3x²+ 3 x2arrow_forwardFind: lim x →-6 f (x) limx-4 f (x) lim x-1 f (x) lim x →4 f (x) (-6,3) • (-1,5) -8 -7 (-6,-2) 4+ (4,5) (4,2) • (-1,1) -6arrow_forward3 2 Find: ƒ(1) lim f(x) 14-x 2 ƒ(2) lim f(x) x-2- lim f(x) x+2+ lim f(x) x→4 3 y=f(x)arrow_forward
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