The pointwise convergence(from2) condition is limited in that it does not consider specific points of discontinuity, thus requiring a stronger condition of convergence. One such condition is uniform convergence(from3).
For example:
1.
The sequence of functions converges pointwise to . Although is continuous for every possible , the pointwise limit function is not continuous(μ°Έκ³ 2).
2.
The function generated by the series of functions converges pointwise to the continuous original function , but the generated function is not continuous(μ°Έκ³ 1).
parse me : μΈμ κ° μ΄ κΈμ μ°μ΄λ©΄ μ’μ κ² κ°μ μ¬λ£λ€.
1.
None
from : κ³Όκ±°μ μ΄λ€ μκ°μ΄ μ΄ μκ°μ λ§λ€μλκ°?
1.
2.
3.
supplementary : μ΄λ€ μλ‘μ΄ μκ°μ΄ μ΄ λ¬Έμμ μμ±λ μκ°μ λ·λ°μΉ¨νλκ°?
1.
None
opposite : μ΄λ€ μλ‘μ΄ μκ°μ΄ μ΄ λ¬Έμμ μμ±λ μκ°κ³Ό λμ‘°λλκ°?
1.
None
to : μ΄ λ¬Έμμ μμ±λ μκ°μ΄ μ΄λ€ μκ°μΌλ‘ λ°μ λκ³ μ΄μ΄μ§λκ°?
1.
None
μ°Έκ³ : λ νΌλ°μ€