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delta x taken from x sub k equal to a to x sub k equal to b minus delta x
equals the integral from a to b of small f of xdx equals capital F of x
between limits a and b equals capital F of minus capital F of a equals
capital A
• x approaches x nought; or x tends to x nought
• the logarithm of c to the base b is equal to n
• the limit of f of x tends to x nought is not equal to f of x nought
11.1.5. Insert a proper word
1. Open interval can be shown by . . . .
a) parentheses
b) brace
c) point
2. Closed interval can be shown by . . . .
a) square brackets
b) brace
c) round brackets
3. Half open interval can be shown by . . . .
a) brackets
b) round brackets on the left and square brackets on the right
a) infinity
Tasks.
1. Analyse and memorize
()
(
)
−
+=
−
12
1/ mm
m
c
z
bz
ϕ
a)
ϕ
of z is equal to b, square brackets, parenthesis, z divided by c sub m plus
two, close parenthesis, to the power of m over m minus 1, minus 1, close
square brackets.
b)
ϕ
оf z is equal to b, multiplied by the whole quantity: the quantity two plus z
over c sub m, to the power m over minus 1, minus 1.
() ()
−Μ−
−≤−
j
t
j
ttt
ii
ββ
ϕϕ
2121
The absolute value of the quantity
ϕ
sub j of t sub one, minus
ϕ
sub j of t sub two
is less than or equal to the absolute value of the quantity M of t sub one minus
β
over j, minus M of t sub two minus
β
over j
()
[]
njbattak
n
i
ij
j
....2,1;,;max
1
=∈=
∑
=
27
delta x taken from x sub k equal to a to x sub k equal to b minus delta x
equals the integral from a to b of small f of xdx equals capital F of x
between limits a and b equals capital F of minus capital F of a equals
capital A
• x approaches x nought; or x tends to x nought
• the logarithm of c to the base b is equal to n
• the limit of f of x tends to x nought is not equal to f of x nought
11.1.5. Insert a proper word
1. Open interval can be shown by . . . .
a) parentheses
b) brace
c) point
2. Closed interval can be shown by . . . .
a) square brackets
b) brace
c) round brackets
3. Half open interval can be shown by . . . .
a) brackets
b) round brackets on the left and square brackets on the right
a) infinity
Tasks.
1. Analyse and memorize
m / ( m −1)
z
ϕ ( z ) = b 2 + − 1
cm
a) ϕ of z is equal to b, square brackets, parenthesis, z divided by c sub m plus
two, close parenthesis, to the power of m over m minus 1, minus 1, close
square brackets.
b) ϕ
оf z is equal to b, multiplied by the whole quantity: the quantity two plus z
over c sub m, to the power m over minus 1, minus 1.
β β
ϕ i (t1 ) − ϕ i (t2 ) ≤ t1 − − Μ t2 −
j j
The absolute value of the quantity ϕ sub j of t sub one, minus ϕ sub j of t sub two
is less than or equal to the absolute value of the quantity M of t sub one minus β
over j, minus M of t sub two minus β over j
n
k = max ∑ aij (t ) ; t ∈ [a, b]; j = 1,2....n
j
i =1
27
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