The answer to that would be many
Answer:
See step-by-Step explanation
Step-by-step explanation:
An linear equation is an equation that shows the relationship of 2 numbers, and when one variable decreases at a constant rate, the other will also decrease by a constant rate. One example is when you drive at a constant rate at 50 miles per hour. The distance is y miles, and the time is x hours. The linear equation is y=50x.
By inspection, it's clear that the sequence must converge to
because
when
is arbitrarily large.
Now, for the limit as
to be equal to
is to say that for any
, there exists some
such that whenever
, it follows that
From this inequality, we get
As we're considering
, we can omit the first inequality.
We can then see that choosing
will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that
.
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