Q5.) Given that f(x) = (In(x + 1) – In(x))E(x), then lim f(x) is A.) 0 B.) + o C.) 2 D.) 1 E.) No answer (In(k+1))? (Ink)(In(k+2)) Q6.) Given the sum (S„)nz2 defined by S, = E2sksn (In A.) In The limit of S, is %3D B.) In C.) In (In ) D.) In (In ) E.) No answer Q7.) Given that a, b and c are positive real numbers, what is the limit of the sequence (Un) defined by Un %3D 3 Vabc B.) Vabc C.) Va + V5 + Vc E.) +b+c А.) D.)- 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Answer Q5, 6, 7,

Q1.) Gumbel's Law of parameters a and b uses the function f defined for real values by:
1 -a
f(x) =eb
. If a = 2 and b = 3, then the derivative annuls at:
A.) 0
B.) 1
C.) 2
D.) 3
E.) No answer
Q2.) Given that E denotes the greatest integer function, then the value of S = E01° E(VK) is
A.) 59144
B.) 59441
C.) 59114
D.) 59111
E.) No answer
1
Q3.) The value of the product P = II=2 (1+
is
<%3D2
k2-
A.) n(1+ n-1
D.) 2 (1+)
B.)n+ 2-1
2n
2n
C.)
n2-1
E.).
n+1
n+1.
x+(-1)E(x) E(x)
x+E(x)
Q4.) Given that f(x) =
then lim f(x) is
A.) + o
B.) – o
C.) E )
D.) E )
E.) No answer
Q5.) Given that f(x) = (In(x + 1) – In(x))E(x), then lim f(x) is
A.) 0
B.) + o
C.) 2
D.)1
E.) No answer
(In(k+1))2
Q6.) Given the sum (S„)n22 defined by S, = E2sksn (In ( ).
C.) In (In )
The limit of S, is
(Ink)(In(k+2))
(In2
A.) In ()
B.) In
In3.
D.) In (In )
E.) No answer
Q7.) Given that a, b and c are positive real numbers, what is the limit of the sequence (Un)
Va+Vb+Vc
defined by Un
3
Vabc
a+b+c
A.)
B.) Vabc
C.) Va + V5 + Vc
D.)
3
E.)-
3
3
Transcribed Image Text:Q1.) Gumbel's Law of parameters a and b uses the function f defined for real values by: 1 -a f(x) =eb . If a = 2 and b = 3, then the derivative annuls at: A.) 0 B.) 1 C.) 2 D.) 3 E.) No answer Q2.) Given that E denotes the greatest integer function, then the value of S = E01° E(VK) is A.) 59144 B.) 59441 C.) 59114 D.) 59111 E.) No answer 1 Q3.) The value of the product P = II=2 (1+ is <%3D2 k2- A.) n(1+ n-1 D.) 2 (1+) B.)n+ 2-1 2n 2n C.) n2-1 E.). n+1 n+1. x+(-1)E(x) E(x) x+E(x) Q4.) Given that f(x) = then lim f(x) is A.) + o B.) – o C.) E ) D.) E ) E.) No answer Q5.) Given that f(x) = (In(x + 1) – In(x))E(x), then lim f(x) is A.) 0 B.) + o C.) 2 D.)1 E.) No answer (In(k+1))2 Q6.) Given the sum (S„)n22 defined by S, = E2sksn (In ( ). C.) In (In ) The limit of S, is (Ink)(In(k+2)) (In2 A.) In () B.) In In3. D.) In (In ) E.) No answer Q7.) Given that a, b and c are positive real numbers, what is the limit of the sequence (Un) Va+Vb+Vc defined by Un 3 Vabc a+b+c A.) B.) Vabc C.) Va + V5 + Vc D.) 3 E.)- 3 3
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