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How do you solve the limit 1-cos3x divided sin squred2 7x approches 0?
Wiki User
∙ 11y ago
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.
Wiki User
∙ 11y ago
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Limit as t approches 4 square t minus 2 divided by t-4?
Since both the numerator and the denominator approach zero, the conditions for de l'Hospital's rule are fulfilled. Take the derivate of both the numerator and the denominator, and take the limit of the new fraction: lim (t2-2)/(t-4) = lim 2t / 1 = 8 / 1 = 8.
Limit as x approches -1 of x3 plus x2 plus 3x plus 3 divided by x4 plus x3 plus 2x plus 2?
lim (x3 + x2 + 3x + 3) / (x4 + x3 + 2x + 2)x > -1From the cave of the ancient stone tablets, we cleared away several feet of cobwebs and unearthed"l'Hospital's" rule: If substitution of the limit results in ( 0/0 ), then the limit is equal to the(limit of the derivative of the numerator) divided by (limit of the derivative of the denominator).(3x2 + 2x + 3) / (4x3 + 3x2 + 2) evaluated at (x = -1) is:(3 - 2 + 3) / (-4 + 3 + 2) = 4 / 1 = 1
How do you calculate the limit of e5x -1 divided by sin x as x approaches 0?
You can use the L'hopital's rule to calculate the limit of e5x -1 divided by sin x as x approaches 0.
What is the limit of 2sinx divided by4 as x goes to pi?
0.5
Does the limit exist for fn divided by fn-1 in the Fibonacci sequence and if so what is it?
The limit is the Golden ratio which is 0.5[1 + sqrt(5)]
Limit as t approches 4 square t minus 2 divided by t-4?
Since both the numerator and the denominator approach zero, the conditions for de l'Hospital's rule are fulfilled. Take the derivate of both the numerator and the denominator, and take the limit of the new fraction: lim (t2-2)/(t-4) = lim 2t / 1 = 8 / 1 = 8.
Limit as x approches -1 of x3 plus x2 plus 3x plus 3 divided by x4 plus x3 plus 2x plus 2?
lim (x3 + x2 + 3x + 3) / (x4 + x3 + 2x + 2)x > -1From the cave of the ancient stone tablets, we cleared away several feet of cobwebs and unearthed"l'Hospital's" rule: If substitution of the limit results in ( 0/0 ), then the limit is equal to the(limit of the derivative of the numerator) divided by (limit of the derivative of the denominator).(3x2 + 2x + 3) / (4x3 + 3x2 + 2) evaluated at (x = -1) is:(3 - 2 + 3) / (-4 + 3 + 2) = 4 / 1 = 1
What is the infinite limit of 1 divided by ln x?
The limit should be 0.
What is the limit of x to the 4-1 divided by x-1 as x approaches 1?
The limit is 4.
What is the difference between summation and integration?
Integration is a special case of summation. Summation is the finite sum of multiple, fixed values. Integration is the limit of a summation as the number of elements approches infinity while a part of their respective value approaches zero.
What is the value of pi?
It goes on forever, but I know 100 of the digits! 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679... Cool, right? Pi is irrational. Same as say, e. e is the limit as x approches infinity of (1/x)^x.
How do you calculate the limit of e5x -1 divided by sin x as x approaches 0?
You can use the L'hopital's rule to calculate the limit of e5x -1 divided by sin x as x approaches 0.
How did democritus answer the question could matter be divided into smaller and smaller pieces forever or was there a limit to the a pieces of matter could be divided?
Democritus' response was... There is a limit, if it is to remain in its original form. He concluded that matter can only be divided to its smallest particle... an atom, to retain it's physical characteristic.
What is the limit of 2sinx divided by4 as x goes to pi?
0.5
Does the limit exist for fn divided by fn-1 in the Fibonacci sequence and if so what is it?
The limit is the Golden ratio which is 0.5[1 + sqrt(5)]
How do you calculate working load limit?
There are several ways to calculate working load limit. One of these includes Minimum Breaking Load (MBL) divided by Working Load Limit (WLL) equals Working Load Limit (WLL).
What is limit of 1 -cos x divided by x as x approaches 0?
1
