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Karo-lina-s [1.5K]
4 years ago
10

Lim x tanx/ 1-cosx x―>0 please help... ...?

Mathematics
1 answer:
lakkis [162]4 years ago
8 0
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.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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In the arithmetic sequence {13,6,−1,−8,…}, what is the common difference? Enter your answer as a number, like this: 42
V125BC [204]

Answer:

-7

Step-by-step explanation:

To find the common difference, you subtract a term from the term after it. For example, in the problem, you can subtract 13 from 6:

6 - 13 = -7

To check you can do the same thing with other consecutive numbers in the sequence like:

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1. Find the Length of Line AD A(6, 2) D(-3, -2)
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Answer:

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Step-by-step explanation:

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3 years ago
Simplify the expression below.<br> (6-3)(66)
irinina [24]

Answer:

198

Step-by-step explanation:

(6-3) x 66 subtract

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198

6 0
3 years ago
Give the equation of the line that is parallel to y=-3x+1 and goes through (-5,-6)
stich3 [128]

Hi there! The answer is y = -3x - 21

Let's set up the equation of the line step by step! First we need to know that we need to set up an equation in slope-intercept form. We get the following:

y = ax + b.
a represents the slope of the line.
b represents the intercept with the y-axis.

Since our new line is parallel to y = -3x + 1, both lines have the same slope. Therefore the slope of our line, which is represented by a, is -3.

y = -3x + b.
We also know that this line goes through the point (-5, -6) and therefore we can plug in these coordinates into our formula.

-6 = -3 × -5 + b
Simplify

-6 = 15 + b
Subtract 15

-21 = b
Switch sides

b = -21
Hence, y = -3x - 21

~ Hope this helps you!
8 0
3 years ago
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