0
How do you solve the limit as x approaches 90 degrees of cos 2x divided by tan 3x?
Fish247
Take the limit of the top and the limit of the bottom.
The limit as x approaches cos(2*90°) is cos(180°), which is -1.
Now, take the limit as x approaches 90° of tan(3x). You might need a graph of tan(x) to see the limit. The limit as x approaches tan(3*90°) = the limit as x approaches tan(270°). This limit does not exist, so we'll need to take the limit from each side. The limit from the left is ∞, and the limit from the right is -∞.
Putting the top and bottom limits back together results in the limit from the left as x approaches 90° of cos(2x)/tan(3x) being -1/∞, and the limit from the right being -1/-∞. -1 divided by a infinitely large number is 0, so the limit from the left is 0. -1 divided by an infinitely large negative number is also zero, so the limit from the right is also 0.
Since the limits from the left and right match and are both 0, the limit as x approaches 90° of cos(2x)/tan(3x) is 0.
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
What is the limit of sine squared x over x as x approaches zero?
So, we want the limit of (sin2(x))/x as x approaches 0. We can use L'Hopital's Rule: If you haven't learned derivatives yet, please send me a message and I will both provide you with a different way to solve this problem and teach you derivatives! Using L'Hopital's Rule yields: the limit of (sin2(x))/x as x approaches 0=the limit of (2sinxcosx)/1 as x approaches zero. Plugging in, we, get that the limit is 2sin(0)cos(0)/1=2(0)(1)=0. So the original limit in question is zero.
How do you solve the limit 1 minus cos3x divided by sin3x as approaches 0?
Use l'Hospital's rule: If a fraction becomes 0/0 at the limit (which this one does), then the limit of the fraction is equal to the limit of (derivative of the numerator) / (derivative of the denominator) . In this case, that new fraction is sin(3x)/cos(3x) . That's just tan(3x), which goes quietly and nicely to zero as x ---> 0 . Can't say why l'Hospital's rule stuck with me all these years. But when it works, like on this one, you can't beat it.
What number divided by 3 has a remainder 1 divided by 4 has a remainder 1 and divided by 5 has a remainder 2 and how to solve?
solve it with a calculater
How do you solve 288 divided by 16?
18
How do you solve 487 divided by 46?
10.587
What is the limit of sine squared x over x as x approaches zero?
So, we want the limit of (sin2(x))/x as x approaches 0. We can use L'Hopital's Rule: If you haven't learned derivatives yet, please send me a message and I will both provide you with a different way to solve this problem and teach you derivatives! Using L'Hopital's Rule yields: the limit of (sin2(x))/x as x approaches 0=the limit of (2sinxcosx)/1 as x approaches zero. Plugging in, we, get that the limit is 2sin(0)cos(0)/1=2(0)(1)=0. So the original limit in question is zero.
What is true of pan African leaders?
They used different approaches to solve problems in Africa- APEX Yeet Skeet
How do you solve the limit 1 minus cos3x divided by sin3x as approaches 0?
Use l'Hospital's rule: If a fraction becomes 0/0 at the limit (which this one does), then the limit of the fraction is equal to the limit of (derivative of the numerator) / (derivative of the denominator) . In this case, that new fraction is sin(3x)/cos(3x) . That's just tan(3x), which goes quietly and nicely to zero as x ---> 0 . Can't say why l'Hospital's rule stuck with me all these years. But when it works, like on this one, you can't beat it.
What number divided by 3 has a remainder 1 divided by 4 has a remainder 1 and divided by 5 has a remainder 2 and how to solve?
solve it with a calculater
What is 372 divided by 3 in area model to solve?
372 divided by 3 in area model to solve = 124
How do you solve 28340 divided by 65?
436
How do you solve 48 divided by 0.6?
80
How do you solve the limit 1-cos3x divided sin squred2 7x approches 0?
This is a perfect time to use l'Hospital's rule: If a fraction becomes 0/0 at the limit (like this one does), then the limit of the fraction is equal to the limit of (derivative of the numerator)/(derivative of the denominator) . I'm not sure why l'Hospital's rule stuck with me all these years. But when it's appropriate, like for this one, you can't beat it.
How do you solve 4x divided by x?
4
How do you solve 1655 divided by 27?
61.2963
How can you solve 1015 divided by 5?
203
How do you solve 50 divided by 9?
5.5556
