Continuity and sequences
Let $val9: $val12 -> $val12 be a real function. Are the following statements justified? A. If $val31, then $val33.
B. If $val33, then $val31.
Epsilon - Delta
Let
be a real function such that: For all
, there exists a
such that
implies
. What does this mean to the continuity of
?
Epsilon - Delta II
Let
be a real function such that: For all
, there exists a
such that
implies
. What does this mean to the continuity of
?
Mixed multiplication
Let
be a real function, Is the following statement true? If
is continuous, then
is continuous.
Powers
Let
be a real function. Is the following statement true? If $val11 is continuous, then $val12 is continuous.