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How do you solve the limit 1 minus cos3x divided by sin3x as approaches 0?
Wiki User
∙ 12y ago
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.
Wiki User
∙ 12y ago
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What is the limit as x approaches 1 when 1 minus square root of 2x squared minus 1 divided by x-1?
The answer will depend on any parentheses present in the expression. Until these are given explicitly, it is not possible to answer the question.
What is the limit of sin multiplied by x minus 1 over x squared plus 2 as x approaches infinity?
As X approaches infinity it approaches close as you like to 0. so, sin(-1/2)
Is zero divided by zero equal to zero?
Actually 0/0 is undefined because there is no logical way to define it. In ordinary mathematics, you cannot divide by zero.The limit of x/x as x approaches 0 exists and equals 1 so you might be tempted to define 0/0 to be 1.However, the limit of x2/x as x approaches 0 is 0, and the limit of x/x2 as x approaches 0 does not exist .r/0 where r is not 0 is also undefined. It is certainly misleading, if not incorrect to say that r/0 = infinity.If r > 0 then the limit of r/x as x approaches 0 from the right is plus infinity which means the expression increases without bounds. However, the limit as x approaches 0 from the left is minus infinity.
What is the limit of x squared plus four x plus four all over x squared minus 4 as x approaches 2?
The "value" of the function at x = 2 is (x+2)/(x-2) so the answer is plus or minus infinity depending on whether x approaches 2 from >2 or <2, respectively.
How do you do minus nine divided by 3?
(-9) / 3 = -3 . Minus nine divided by three is equal to minus three
What is the limit as x approaches 1 when 1 minus square root of 2x squared minus 1 divided by x-1?
The answer will depend on any parentheses present in the expression. Until these are given explicitly, it is not possible to answer the question.
What is the limit of sin multiplied by x minus 1 over x squared plus 2 as x approaches infinity?
As X approaches infinity it approaches close as you like to 0. so, sin(-1/2)
Is zero divided by zero equal to zero?
Actually 0/0 is undefined because there is no logical way to define it. In ordinary mathematics, you cannot divide by zero.The limit of x/x as x approaches 0 exists and equals 1 so you might be tempted to define 0/0 to be 1.However, the limit of x2/x as x approaches 0 is 0, and the limit of x/x2 as x approaches 0 does not exist .r/0 where r is not 0 is also undefined. It is certainly misleading, if not incorrect to say that r/0 = infinity.If r > 0 then the limit of r/x as x approaches 0 from the right is plus infinity which means the expression increases without bounds. However, the limit as x approaches 0 from the left is minus infinity.
What is the limit of x squared plus four x plus four all over x squared minus 4 as x approaches 2?
The "value" of the function at x = 2 is (x+2)/(x-2) so the answer is plus or minus infinity depending on whether x approaches 2 from >2 or <2, respectively.
Minus divided by minus?
Plus
What is a minus divided by a minus equals?
÷/÷ = +
What is 4 divided by 9 minus 1 divided by 12?
4 divided by 9 minus 1 divided 12?
What is 3 divided minus 6?
-3
How do you do minus nine divided by 3?
(-9) / 3 = -3 . Minus nine divided by three is equal to minus three
What is 12.8 divided by minus 0.2?
12.600000000000001
What is 9 divided by 16 minus 9 divided by 20 equal?
(9 divided by 16) minus (9 divided by 20) = 0.1125
6 divided by 11 minus 1 divided by2 equals?
6 divided by 11 minus 1 divided by 2 equals?
