Can you do limits on wolfram alpha

Hugo Herrera. Pandit Ramlakhan Sharma. Juhainah C. Guro Lpt. Populer di Mathematical Objects. Amira Hosny. Pair of Linear Equations in Two Variables-converted. Ronileto Abento. Echo Slam. Anjal Nasheet. Kavinaath Murugan. Sudip Mondal. Anita Pal. Chibaka Wars. Ajith Krishnan. MATHdouble angle, power reducing, half angle identities. Waleed kash. Silviu Renghes. Tohid Alam Khan. The limit of the difference quotient exists, so is differentiable and :. Note that the limit as of does not exist, so is discontinuous:.

Determine the differentiability of at the point :. The partial derivative with respect to x exists:. As does the one with respect to y :. However, the linearization condition fails, so is not differentiable:.

Note that the partial derivatives of exist everywhere:. But they are discontinuous at the point :. The second derivative can be computed by taking the limit of the second-order difference quotient:. Directly compute the mixed partial derivative by taking a limit:. Compute as a limit at Infinity :. Compute as a limit of Gamma functions:. Compute EulerGamma as a limit involving the Zeta function:. Compute EulerGamma as a limit of exponential integrals:. A function is said to be "little-o of " at , written , if :.

Similarly, is said to be "little-omega of ", written , if :. If , then :. Moreover, neither relationship even holds between a function and itself:. Hence, and define partial orders on the functions:. Note that the two lists are not exactly reversed, because and are incomparable:. From Taylor's theorem, if has continuous derivatives around , then :. This is the fifth-order Taylor polynomial at :.

The definition of is that :. Verify that :. In special relativity, the kinetic energy of a particle of mass and speed is given by:. If f and g have finite limits, Limit is distributive over their sum:. If f and g have finite limits, Limit is distributive over their product:. Function composition and sequence limit operations can be interchanged for continuous functions:. The "squeezing" or "sandwich" theorem :.

This function is bounded by :. The limit of the bounding functions is zero, which proves the original limit was zero:. This function is bounded by on the positive real axis:. Assumptions applies to parameters in the limit expression:. Direction places conditions on the limit variable:. In this case, f ' and g ' are continuous and can be computed via evaluation:.

If Limit exists, then so does DiscreteLimit , and they have the same value:. If Limit exists, then so does MaxLimit , and it has the same value:.

Garcia was perplexed, until she remembered a conversation from a few years earlier. Some former students had told her about an online tool called Wolfram Alpha that could complete complicated calculations in seconds. It provided both the answers and the steps for reaching them, making it virtually undetectable when copied as homework.

For years, students have turned to CliffsNotes for speedy reads of books, SparkNotes to whip up talking points for class discussions, and Wikipedia to pad their papers with historical tidbits. Wolfram Alpha uses natural language processing technology, part of the AI family, to provide students with an academic shortcut that is faster than a tutor, more reliable than copying off of friends, and much easier than figuring out a solution yourself.

Since its release, Wolfram Alpha has trickled through the education system, finding its way into the homework of college and high school students. Use of Wolfram Alpha is difficult to trace, and in the hands of ambitious students, its perfect solutions are having unexpected consequences.

It works by breaking down the pieces of a question, whether a mathematical problem or something like "What is the center of the United States? These datasets include information on geodesic schemes, chemical compounds, human genes, historical weather measurements, and thousands of other topics that, when brought together, can be used to provide answers.

This is a stumbling block in AI in general. Even Siri, which relies heavily on Mathematica—another Wolfram Research product and the engine behind Wolfram Alpha—can only answer questions in programmed response scripts, which are like a series of Mad Libs into which it plugs answers before spitting them out of your speaker or onto your screen.

Using Wolfram Alpha is similar to executing a Google search, but Wolfram Alpha delivers specific answers rather than endless pages of potentially relevant results. Anyone can go to the Wolfram Alpha website, type a question or equation into a dialogue box, hit enter, and receive an answer.

The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. Wrong Wolfram Alpha limit? Asked 4 years, 11 months ago. Active 4 years, 11 months ago. Viewed 2k times. Please correct me if I am wrong. Thank you. Martin Sleziak It could be good to provide a link.