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
.
In your question that ask to calculate the area of one of the tiles if a semicircular archway in the front of the garden is using 8 congruent granite tiles and the area of one of the tiles is 2.9ft ^2. I hope you are satisfied with my answer and feel free to ask for more.
We conclude that the final amount that she has in her bank account is $375.
<h3>
How much has Tara in her bank account now?</h3>
Here we need to perform some additions and subtractions. We know that Tara starts with $350 in her account.
Then she received 3 checks for $35 each, so at this point she has:
$350 + 3*$35 = $455
Now she buys 2 video games for $41 each, so we need to subtract two times $41, we will get:
$455 - 2*$41 = $375
We conclude that the final amount that she has in her bank account is $375.
If you want to learn more about additions and subtractions:
brainly.com/question/25421984
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