Answer:
The answer is the second graph, Option 2
The of the first multiples of 21 is 21, 42, 63, 84, 105
<span>lim (x → π/2) (sinx)^(tanx)
= lim (x → π/2) e^[(tanx) ln (sinx)]
= e^ [lim (x → π/2) (tanx) ln (sinx)] ... (1)
lim (x → π/2) (tanx) ln (sinx)
= lim (x → π/2) [ln(sinx) / cotx]
Using L'Hospital'stheorem,
= lim (x → π/2) [- cotx / cosec^2 x]
= 0
Plugging in ( 1 ),
required limit = e^0 = 1
=>Answer is 1.
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The amount in the new checking account is 600 dollars
The operation (5 α 3) + (7 α 5) is 46.
<h3>How to find the amount in the checking account?</h3>
She had 1000 dollars in her checking account. she had a loan of 800 dollars to pay.
After paying her loan form her checking account the balance of the loan reduce to half.
Therefore, she paid 800 / 2 = 400 dollars for her loan
Hence,
Her new checking account = 1000 - 400 = 600 dollars
<h3>How to find value of an operation?</h3>
a α b = ab - a + b
Therefore,
(5 α 3) + (7 α 5)
(5 α 3) = 5(3) - 5 + 3 = 13
(7 α 5) = 7(5) - 7 + 5 = 33
Therefore,
(5 α 3) + (7 α 5) = 13 + 33 = 46
Note: I can't use the at symbol because it is a swear word.
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