Why is \sqrt{x} one to one? Why does log 3+log x = log 3x? Why is sqrt(x) equivalent to x^(1/2)? Why is 2x^3 not the same as 2x \cdot 2x\cdot 2x? Why is infinity divided by 0 infinity? Prove that absolute of (a/b) = (absolute of a)/(absolute of b). ...
41K Learn to define what the limit of a function is. Learn to describe the properties of limits and discover how to prove the properties of limits and see examples. Related to this QuestionExplain why the limit is indeterminate. Then evaluate. Limit as z appr...
So, L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit. Is Infinity over 0 indeterminate? Another states that infinity/0 is one of the indeterminate forms...
Therefore, the value of is going to depend on the direction that we take the limit. This means that there is no way to define that will make the function continuous at the point . Mathematician: Zero raised to the zero power is one. Why? Because mathematicians said so. No really, it’...
Licensed under the Creative Commons License - Attribution 3.0 1 Introduction "Let us suppose now that one day a helicopter flies over this community and drops an additional $1000 in bills from the sky, ... Let us suppose further that everyone is convinced that this is a unique event which ...
The form {eq}\infty - \infty {/eq} is one of the indeterminate forms of limits. If a limit contains this form, then we must express the limit in the form {eq}\displaystyle\lim_{x \rightarrow c} \frac{f(x)}{g(x)} {/eq...
Find the limit, if it exists. if it does not exist, explain why. limx→∞(16x2+x−4x). Denominator as One:If the limit of the given square root function is in an indeterminate form, then take denominator as 1 and rationalize the numerator o...
Why is thelimx→31x−3nonexistent and not zero? Limits: We have a function that contains a linear term. We will find the right hand limit and the left hand limit by applying the limits. If the limits are equal then the limit exists or else it does not. ...
Evaluate the given limit. If it does not exist, briefly explain why. {eq}\mathop {\lim }\limits_{x \to 4} \left[ {{1 \over {t - 4}} - {8 \over {{t^2} - 16}}} \right] {/eq} Indeterminate Limits: Limits of the form {eq}\...
Related to this QuestionIs 3 a zero of x^5 + x^3 - x? Why is zero important? Why is 0^{\infy} not indeterminate? Why is the tan(3pi/2) undefined? What is zero choose one? Why is 5^0 = 1? Why does 11 x 4 = 44? Why i^2 = -1? Why does (-3)^2 = 9? Why is...