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What is the limit of x-sin x cos x over tan x -x as x tends to zero?
Wiki User
∙ 12y ago
The limit is 2. (Take the deriviative of both the top and bottom [L'Hôpital's rule] and plug zero in.)
Wiki User
∙ 12y ago
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What is the limit of infinity over zero?
infinity? Infinity over zero is undefined, or complex infinity depending on numbers you are including in your number system.
If f(x) cos(2x).cos(4x).cos(6x).cos(8x).cos(10x) then find the limit of 1 - f(x)35(sinx)2 as x tends to 0 (zero).?
I'm sorry the question is not correctly displayed. If f(x) = cos(2x).cos(4x).cos(6x).cos(8x).cos(10x) then, find the limit of {1 - [f(x)]^3}/[5(sinx)^2] as x tends to 0 (zero).
How much is x over infinity?
X over infinity does not exist but you can predict what it would be as you approach infinity, the limit, so to speak. It should be zero, if it does approach a number.
What is calculus about?
Calculus is about applying the idea of limits to functions in various ways. For example, the limit of the slope of a curve as the length of the curve approaches zero, or the limit of the area of rectangle as its length goes to zero. Limits are also used in the study of infinite series as in the limit of a function of xas x approaches infinity.
Does limit always tend to zero only?
No, limit can tend to any finite number including 0. It is also possible that the limit does not tend to any finite value or approaches infinity. Example: The limit of x^2+5 tend to 6 as x approaches -1.
Why does the derivative of sin x equal cos x reason not prove?
Because the slope of the curve of sin(x) is cos(x). Or, equivalently, the limit of sin(x) over x tends to cos(x) as x tends to zero.
What is the infinite limit of ln 0?
If x --> 0+ (x tends to zero from the right), then its logarithm tends to minus infinity. On the other hand, x --> 0- (x tends to zero from the left) makes no sense, at least for real numbers, because the logarithm of negative numbers is undefined.
What is limit of 1 -cos x divided by x as x approaches 0?
1
What is the limit of infinity over zero?
infinity? Infinity over zero is undefined, or complex infinity depending on numbers you are including in your number system.
What do you get if you divide any number by 0?
It depends what the number is: f the number is not zero you get an error as it cannot be done. If the number is zero you get any number you want. This is used in calculus as the limit of a division where the dividend and divisor both tend towards zero: the limit is zero divided by zero, but as the numbers tend towards zero the division tends towards a value. For example, if a chord is drawn on a circle as one point moves towards the other, the slope of the cord (as calculated by the gradient between the two end points) tends towards the slope of the tangent at the point which is not moving - when the points coincide you have zero divided by zero and this is the slope of the tangent at the point!
What is the limit of trigonometric function csc 2x cos 5x as x tends to zero?
The answer depends on the side from which x approaches 0. If from the negative side, then the limit is negative infinity whereas if from the positive side, it is positive infinity.
What is the difference between x tends to 0 and limit of x tends to 0?
The difference can probably be stated more explicitly in mathematical terms."x tends to 0" typically implies that x is an independent variable of an unstated function. You are evaluating the function as this variable tends to zero; or, limx→0 f(x)."limit of x tends to 0" instead implies that "x" is the function, and the value of it as you approach some unstated value tends to 0; or, lima→b x(a) = 0 where "b" is the value the function is approaching, whether real or ±infinity.
What is the legal blood alchol limit for males over 20 years and males under 20 years?
Under 20 years there is a zero tolerance limit, over twenty years its .08
Evaluate limit x tends to 0 sinx x?
The limit as x approaches zero of sin(x) over x can be determined using the squeeze theorem.For 0 < x < pi/2, sin(x) < x < tan(x)Divide by sin(x), and you get 1 < x/sin(x) < tan(x)/sin(x)That is the same as 1 < x/sin(x) < 1/cos(x)But the limit as x approaches zero of 1/cos(x) is 1,so 1 < x/sin(x) < 1which means that the limit as x approaches zero of x over sin(x) is 1, and that also means the inverse; the limit as x approaches zero of sin(x) over x is 1.You can also solve this using deriviatives...The deriviative d/dxx is 1, at all points. The deriviative d/dxsin(x) at x=0 is also 1.This means you have the division of two functions, sin(x) and x, at a point where their slope is the same, so the limit reduces to 1 over 1, which is 1.
What is zero to the fourth power?
Zero to any non-zero real number power is equal to zero. Unless a function evaluates to 'zero to the infinity power' then you must take limits to determine what the limit evaluates to. Zero to the zero power is undefined, but you can take a limit of the underlying function to determine if the limit exists.
What is Limit x to the power of x as x tends to infinity?
we can give a general expression: and limit is consider in only positive direction since ln eista for positives only nx is called the hyper power of x and when x tends to zero the general case is if n is a odd number then answer is zero if n is a even number it is 1 since consider the following example xx = ex ln(x) and when x tend s to zero the value is 1. let it is 3x = e x2 ln(x) whose value is zero similarly for other cases
What is the solution for limit x tends to zero tank minus sink whole divided by k?
Since x is not a part of the expression, x can approach zero without any effect. So, the answer would be (tank-sink whole)/k, k<>0.
