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Limite Flashcards | StudBud

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Limite

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Questions 4

Answers

1
How do you determine if a function has a vertical asymptote at x = a?
If the function has a local minimum at x = a.
If the limit of the function as x approaches a is + \infty or - \infty
If f(a) = 0
If the graph crosses the y-axis at x = a.
2
What is an indeterminate form, and give an example.
It is a type of limit that always equals infinity.
It is a form used only in probability and statistics
An expression like 0/0 that requires simplification to find the limit.
It refers to limits of functions that are undefined everywhere
3
Why is the value of the function at x = a not necessary for the limit lim {x \to a} f(x) to exist?
Because the function always has to be continuous.
Because the limit is only defined when f(a) = 0.
Because limits are only used for infinite values.
Because the limit depends only on the values near a, not at a itself.
4
What does it mean when we say that the limit of f(x) as x approaches a is L?
f(x) = L exactly when x = a.
As x gets close to a, f(x) gets close to L.
The function must be defined at x = a
f(x) reaches a maximum value at x = a