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Mathematical analysis I
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Given the subset of defined by , state which of the following statements is FALSE:
Let . The FALSE statement is
If and , what is the value of ?
Answer:
Note: the entered answer must be an integer; enter 10000 for , enter -10000 for , enter 999 for 'does not exist'.
Let , . Then is equal to
What is the value of the limit ?
Answer:
Note: the entered answer must be an integer; enter 10000 for , enter -10000 for , enter 999 for 'does not exist'.
The domain of the function is
Let be such that and . Then necessarily
The limit
Let be the positivity set of the function , that is, the set of for which . What is the value of ?
Answer:
Note: the entered answer must be an integer; enter 10000 for , enter -10000 for , enter 999 for 'does not exist'.
Let , with . The sequence