Question
Which of the following is/are signified by
?
The value of
goes out to infinity, when it gets close to
.
This means that
As
approaches
, the value of
increases without bound.
The limit exists and equals infinity.
The value of
becomes infinite when
approaches
.
As
Ask by Hill Nichols. in the United States
Jan 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
As
approaches
,
increases without bound.
Solution

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Extra Insights
When
, this indicates that as
gets closer to
, the values of
steadily rise, climbing higher and higher without any upper limit. It’s like a rollercoaster that just keeps climbing up – thrilling but never quite reaching the top!
It’s important to clarify that this does not imply
. In fact,
may not even be defined! The limit tells us about the behavior of
around
rather than at
itself. Picture it as observing a race – you see the runners’ speeds nearing the finish line, but you might not catch what they’re doing at that one fixed point!