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...
What is cos(infinity)? What is sec(-13pi/3)? What is tan(0)? What is conicity? Explain why x dot x = x^2. What is arcsin(7/10)? What is the log(121/120)? What is sin(17pi/12)? What is \sqrt{-20}? What is cot(75)?
So, L'Hospital's Rule tells us thatif 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 isone of the indeterminate formshav...
Reproducibility o Produce consistent results: From one run to the next; From one set of build options to another; From one compiler to another From one processor or operating system to another Performance o Produce an application that runs as fast as possible ...
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 ...
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’s true. Let’s consider the problem of def...
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’s true. Let’s consider the problem of defining the function for positive integers y ...
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. ...
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...
First we integrate in respect in respect to one variable and then in respect to the other variable to get the result. Answer and Explanation: Lets rewrite the left side: {eq}\int_{-\infty}^\infty \int_{-\infty}^\infty e^{-(x^2+y^2)} \,dx ...