presentaciΓ³n de powerpointΒ Β· 1. lim π₯β2 (2 +3) 2. lim π₯β3 π₯β2 π₯+2 3. lim...
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β
π
π΅
π΅ π΅ ππ΅ π΅ π
π π π π π ππ π π π
π π π₯π π π π π π₯ π π π
π π₯ π π π π ππβ€π₯β€π
π π₯ π₯ ππ₯ π π₯β€π π₯β₯π
π π₯ π
π π
π₯
0
5
10
15
20
25
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
Variable y Constante
π₯π₯
π₯
π₯
π₯
π¦ π₯π₯
π¦ π¦π₯ π₯
ΒΏ ?
β’
β’
β’
β’
β’
β’
π¦ π₯ π¦π₯
π¦π₯
π¦ π π₯π¦
π₯
π₯
π π₯ = 148π₯
2 β 2π₯ + 50 π¦ π π‘ = 4π‘ + 52
0 β€ π‘ β€ 15
π(π₯) π₯0 π(π₯) π₯ π₯0π(π₯) π₯ π₯0
π π₯ = π₯2 π₯0 = 2
Por la izquierda
x f(x)
1.9
1.99
1.999
β¦
2
Por la derecha
x f(x)
2.1
2.01
2.001
β¦
2
π¦ = π π₯ π(π₯) π₯ = π πΏ+
limπ₯βπ+
π(π₯) = πΏ+
limπ₯βπβ
π(π₯) = πΏβ
π¦ = π(π₯) π(π₯) πΏ π₯π¦ = πΏ π¦ = π(π₯)
π₯ = π π₯ = π
limπ₯ββ
π(π₯) = πΏ
limπ₯βπ
π(π₯) = +β
π π₯ = c limπ₯βπ
π(π₯) = π
limπ₯βπ
π(π₯) = π΄ limπ₯βπ
π(π₯) = π΅
ii. limπ₯βπ
ππ(π₯) = ππ΄ π
iii. limπ₯βπ
π(π₯) Β± π(π₯) = limπ₯βπ
π(π₯) Β± limπ₯βπ
π(π₯) = π΄ Β± π΅
iv. limπ₯βπ
π(π₯) β π(π₯) = limπ₯βπ
π(π₯) β limπ₯βπ
π π₯ = π΄ β π΅
v. limπ₯βπ
π(π₯)
π(π₯)=
limπ₯βπ
π(π₯)
limπ₯βπ
π(π₯)=
π΄
π΅π΅ β 0
vi. limπ₯βπ
π π(π₯) = π limπ₯βπ
π(π₯) =ππ΄
ππ΄
1. limπ₯β2
(2π₯ + 3)
2. limπ₯β3
π₯β2
π₯+2
3. limπ₯β4
25 β π₯2
4. limπ₯β1
π₯+1
π₯β1
5. limπ₯ββ
π₯+3
π₯β2
6. limπ₯β3
2π₯3
π₯2+1
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