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The limit doesn't exist. Consider approaching from the left (->) and the right (<-) [I'm assuming x is real, but if it is complex the same holds].
(->) : (x-1) / |x-1|. Since x<1, |x-1| = 1-x. So, we have
(x-1) / (1-x) = (x-1) / -1(x-1) = -1
(<-) : (x-1) / |x-1|. Since x>1, |x-1| = x-1. So, we have
(x-1) / (x-1) = 1
But recall that limits must be unique and clearly 1 doesn't equal -1. Thus, the limit doesn't exist.
What else can I help you with?
Find the value of the limit x approaches 0 sin3x divided by tan6x?
That's 1/2 .(You have to use l'Hospital's rule.)
What is the meaning of the limit concept in the mathematical context?
It can be difficult to remember all mathematical terms and their meanings. The limit concept is the value that a function or sequence approaches as the input approaches a value.Ê
What is the absolute value of 3 over fifteen?
It is: 3/15 = 1/5
Why absolute value of x is not differentiable at point 0?
The absolute value of x, |x|, is defined as |x| = x, x>=0; -x, x<0. If you derive this, then you will find that the derivative is 1 when x>=0, and -1 when x<0. But this means that the derivative as x approaches 0 from the left does not equal the derivative as x approaches 0 from the right, as -1=/=1. So the limit as x approaches 0 does not exist, and therefore the gradient does not exist at that point, and so |x| cannot be differentiated at x = 0.
What is the value of x if thrice a number x divided by the absolute value of -50 is 21?
350.
Find the value of the limit x approaches 0 sin3x divided by tan6x?
That's 1/2 .(You have to use l'Hospital's rule.)
Mathematically what is a limit?
A limit is the value that a function approaches as the input gets closer to a specific value.
Lim x approaches 0 x x x x?
When the limit of x approaches 0 x approaches the value of x approaches infinity.
What is the meaning of the limit concept in the mathematical context?
It can be difficult to remember all mathematical terms and their meanings. The limit concept is the value that a function or sequence approaches as the input approaches a value.Ê
Which law states that absolute zero cannot be reached?
The Third Law of Thermodynamics states that absolute zero cannot be reached. This law asserts that as a system approaches absolute zero, its entropy approaches a minimum value but never reaches zero.
What is the absolute value of 3 over fifteen?
It is: 3/15 = 1/5
What is the third law of thermodynamics, which states that no system can reach absolute zero temperature?
The third law of thermodynamics states that as a system approaches absolute zero temperature, its entropy approaches a minimum value. This means that it is impossible for any system to reach absolute zero temperature.
Why absolute value of x is not differentiable at point 0?
The absolute value of x, |x|, is defined as |x| = x, x>=0; -x, x<0. If you derive this, then you will find that the derivative is 1 when x>=0, and -1 when x<0. But this means that the derivative as x approaches 0 from the left does not equal the derivative as x approaches 0 from the right, as -1=/=1. So the limit as x approaches 0 does not exist, and therefore the gradient does not exist at that point, and so |x| cannot be differentiated at x = 0.
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.
What is the value of x if thrice a number x divided by the absolute value of -50 is 21?
350.
How can I find the uncertainty when a constant is divided by a value with an uncertainty?
To find the uncertainty when a constant is divided by a value with an uncertainty, you can use the formula for relative uncertainty. Divide the absolute uncertainty of the constant by the value, and add it to the absolute uncertainty of the value divided by the value squared. This will give you the combined relative uncertainty of the division.
Distance a number is from zero?
That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.That is called the "absolute value" of the number. For example:The absolute value of 5 is 5.The absolute value of -5 is also 5.
