ściaga Analiza 1a.pdf

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2.ℎśóął|lim
|
ż|3...|: ∈;ąłóż|
= lim
śćąℎą| | > 0 ∈ ∩
ą ∈ |ą ∈ | = .
= .. = .. ≤ lim
. =
.. ≥ lim
|4.ł|. = …| = … |
= ąłł
3
+1 =
+
+
+1 |.|ł.óń
.
,,| =
+
+
+1 +| = .|5.ł| ≤ ≤ | ≤ ≤ | =
|5.| ≤ ≤ | = …| = 1+
|′ = |
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5.| ≤ ≤ | ≤ ≤ | = |6.łłś| | =
= = ′ =
′ = =
= lim |
../.| =
|
}=
= [′] = |.|lim
|. = lim
|3.
.ś|: ∈ ;| lim
| lim
|.ś| = +
|żś | = | > 0||ℎℎ|
= lim
′ = 0|′ = | ′= |
′= −
| ′= 1
2 | = | ′= ln|′ = 1
|
1
ln |sin′= |′ = −|′ =
1
1−
−1
1−
log ′ =
|′ =
|
1
= 1+ |′ = −1
1
1+ |′ = −1
′ =
1+
łℎ|+′= ′+′|−′= ′−′|′ = ′|′ = ′+′|
= −1+ |′=
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=
[]′= ′′|ł| =
+1 +|
= |+| =
+| =
ln +| = − +| = +| = −ln||+
| = ln||+
= +
= |= ′|.|||łęś| =
= − +|ł.
= [′− | = 1−2
2
| = 1+2
2
|2 = 2|
2
2+1 = 1+
2
2+1
=
2 = |1+
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Zgłoś jeśli naruszono regulamin