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When we say as a variable n tends to infinity, we mean as n gets very very large. For example. If we look at 1/n as n tend to infinity, then n gets very large and 1/n goes to zero.
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What are the asymptotes of a logarithmic function?
As x tends towards 0 (from >0), log(x) tend to - infinity. As x tends to + infinity so does log (x), though at a much slower rate.
What is the greatest number divisible by 4 without a remainder?
There is no answer to this question. The answer tends to infinity.
How many asymptotes can a bounded function have?
I believe the maximum would be two - one when the independent variable tends toward minus infinity, and one when it tends toward plus infinity. Unbounded functions can have lots of asymptotes; for example the periodic tangent function.
What is the name of a line that carries on forever?
I think the phrase is "a line that tends towards infinity", but I'm not sure.
What is a cauchy sequence?
(xn) is Cauchy when abs(xn-xm) tends to 0 as m,n tend to infinity.
What is the maximum point for the equation y equals X squared?
There is no maximum because y tends to + infinity as x tends to + or - infinity.
What is sine infinity?
Sine does not converge but oscillates. As a result sine does not tend to a limit as its argument tends to infinity. So sine(infinity) is not defined.
What are the asymptotes of a logarithmic function?
As x tends towards 0 (from >0), log(x) tend to - infinity. As x tends to + infinity so does log (x), though at a much slower rate.
What is the greatest number divisible by 4 without a remainder?
There is no answer to this question. The answer tends to infinity.
What is a straight line which a plane curve tends towards only meeting at infinity?
An asymptote
How many asymptotes can a bounded function have?
I believe the maximum would be two - one when the independent variable tends toward minus infinity, and one when it tends toward plus infinity. Unbounded functions can have lots of asymptotes; for example the periodic tangent function.
What is the limit of x divided by e to the x as x approaches infinity?
Limit as x tends to ∞: x/e^xAs you can see, as x approaches infinity, the sum becomes ∞/∞. Now we use l'Hospitals rules.d/dx(x) = 1 (Derivative)d/dx(e^x) = e^x (Derivative)therefore, the sum can be written as lim x tends to ∞ 1/e^xNow as x approaches infinity, the sum = 1/∞ = 0Therefore, lim x tends to infinity: x/e^x = 0
What is the formula to find the least common multiple of first n natural numbers?
There is no exact formula. To find the sequence of LCMs see http://oeis.org/A003418/list. LCM(1, 2, 3, ..., n) tends to en as n tends to infinity. Equivalently, ln[LCM(1, 2, 3, ..., n)] tends to n or ln[LCM(1, 2, 3, ..., n)] / n tends to 1 as n tends to infinity.
What is the name of a line that carries on forever?
I think the phrase is "a line that tends towards infinity", but I'm not sure.
What does 0.5H alert mean on 2008 infinity?
what does alert 0.5H mean on a 2008 infinity ex35
Asymptote of x² times e to the power of x?
As x tends to negative infinity, the expression is asymptotically 0.
What is a cauchy sequence?
(xn) is Cauchy when abs(xn-xm) tends to 0 as m,n tend to infinity.
