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What is the limit of x-sin x cos x over tan x -x as x tends to zero?
The limit is 2. (Take the deriviative of both the top and bottom [L'Hôpital's rule] and plug zero in.)
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 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.
Why is the exponent zero on a number that is equal to zero?
The question doesn't make sense, because any nonzero number raised to the zero (0) power (exponent) will always equal one (1).
How do you write a function rule for x equals -2 and y equals -3?
1
Is the absolute value of a number always zero?
No. It's always the number without a sign.
Why the product of a multiple of ten and a multiple of ten will always have only one zero?
Why the product of a multiple of ten and a multiple of ten will always have only one zero
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 Zero multiplied by Infinity?
It is undefined. In infinities and infinitessimals we use limits, so we see trends as we approach a limit. However this gives different answers, The limit as A approaches infinity of A x 0 is 0. But the limit as B approaches zero of infinty x B is infinite. To be well-defined both of these answers need to be the same.
Does motion ever stop?
Only at absolute zero temperature, but this temperature can only be approached as a limit, never reached. So your answer is no.
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
Division by an integer is always defined?
Division by an integer is always defined only when the divisor is not zero
Why does x 0 have only one solution?
Anytime you multiply a number by zero, the product will always be zero. Thus, whenever a number, regardless of its value, is multiplied by zero, there is only one possible solution: zero.
Is a quotient of zero and a negative number always zero?
Zero divided by anything is always zero.
What multiples always end in zero?
Anythingmultipliedby zero always ends in zero.
Will the opposite of zero always or never be zero?
The opposite of zero - in the sense of additive inverse - is zero.
