Scheda sui limiti 4aC Scientifico 20/05/2022 - Francesco Daddi

Liceo “E. Fermi” Cecina - Prof. Francesco Daddi

Scheda sui limiti

4

C Scientifico 20/05/2022

Calcolare i seguenti limiti.

Esercizio 1. lim

x→ −∞ log_2/5(3−x) lim

x→3⁻

log_2/5(3−x)

Esercizio 2. lim

x→ −∞ exp(

−x²)

x→lim+∞ exp(

−x²)

Esercizio 3. lim

x→ (π

2

)₋ exp(tanx) lim

x→ (π

2

)+ exp(tanx)

Esercizio 4. lim

x→ −∞ exp(

arctanx)

x→lim+∞exp(

arctanx)

Esercizio 5. lim

x→ −∞ arctan(

exp(x))

x→lim+∞ arctan(

exp(x))

Esercizio 6. lim

x→0⁺ ln(

arctanx)

x→lim+∞ ln(

arctanx)

Esercizio 7. lim

x→0⁺ arctan( ln(x))

x→lim+∞ arctan( ln(x))

Esercizio 8. lim

x→0⁻ arctan ( 1

sinx )

lim

x→π⁻ arctan ( 1

sinx )

Esercizio 9. lim

x→0⁺ ln ( 1

sinx )

lim

x→π⁻ ln ( 1

sinx )

Esercizio 10. lim

x→0⁺ log_1/4 ( 1

sinx )

lim

x→π⁻ log_1/4 ( 1

sinx )

Esercizio 11. lim

x→0⁻

exp ( 1

sinx )

lim

x→π⁻

exp ( 1

sinx )

Esercizio 12. lim

x→0⁻

(3 4

)1/sinx

lim

x→π⁻

(3 4

)1/sinx

Esercizio 13. lim

x→ −∞ ln(π

2 −arctanx

) lim

x→+∞ ln(π

2 −arctanx )

Esercizio 14. lim

x→0⁺ exp(

1 +|lnx|)

x→lim+∞ exp(

1 +|lnx|)

Esercizio 15. lim

x→0⁺ ln(

1 +|lnx|)

x→lim+∞ln(

1 +|lnx|)

Esercizio 16. lim

x→0⁻

ln(

1−exp(x))

x→ −∞lim ln(

1−exp(x))

Esercizio 17. lim

x→(−6π)⁻

log_1/3(1−cosx) lim

x→0⁺ log_1/3(1−cosx)

Esercizio 18. lim

x→6⁻ −2exp(

log_3/4(6−x))

lim

x→5⁻ −2exp (

1 log_3/4(6−x)

)