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Answer:
7.5
Step-by-step explanation:
3 divided by 2/5
3*5/2=15/2=7.5
Note that 1 - cos(x) = 2sin²(x/2)
⇒ lim x→0 xtan(x)/ [1 - cos(x)] =
= lim x→0 xtan(x) / 2sin²(x/2) =
= lim x→0 1/2 xtan(x) / [sin²(x/2) / (x/2)² * (x/2)²]
Also, we know that lim x→0 sin(x)/x = lim x→0 tan(x)/x = 1
So the limit is :
= 1/2 lim x→0 xtan(x) / (x²/4) =
= 1/2 lim x→0 4/x² * xtan(x) =
= 2 lim x→0 tan(x)/x =
<span>= 2.
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Answer:
<em>It can also be expressed as 35/14.</em>
Step-by-step explanation:
<u>Equivalent Ratio</u>
A ratio is a relation between two numbers a, b in the format a:b and it's equivalent to the division a/b.
Since it's equivalent to a division or a fraction, it can be simplified or amplified by multiplying or dividing both sides by the same number.
The ratio 5:2 can be amplified by multiplied by 7 as follows:
5*7:2*7 = 35:14.
It can also be expressed as 35/14.
