# Calculate Limit - Wolfram Alpha

• puzzek
In summary, the conversation is discussing how to calculate the limit of a given series. The speaker asks for help in rewriting the series to a Riemann sum form, which is then explained by the other participant. The reason for doing this is also mentioned. The conversation ends with a thank you.
puzzek
Calculate the limit of :

[PLAIN]http://www3.wolframalpha.com/Calculate/MSP/MSP3119g718e25g367ahi000057f7afh4fdhed60b?MSPStoreType=image/gif&s=9&w=150&h=57

Thanks for the help.

Last edited by a moderator:
Hi puzzek!

Can you rewrite this series to a Riemann sum. That is, rewrite it to the form

$$\sum_{k=1}^{+\infty}{f(\frac{k}{n})\frac{1}{n}}$$

for a function f. Wshy should you do this? Well, since you know that

$$\lim_{n\rightarrow +\infty}{\sum_{k=1}^{+\infty}{f(\frac{k}{n})\frac{1}{n}}}=\int_0^1{f(x)dx}$$

micromass Thank you!

## What is a limit in mathematics?

A limit in mathematics refers to the value that a function or sequence approaches as the input or index approaches a specific value. It is used to describe the behavior of a function or sequence near a particular point.

## How do I calculate a limit using Wolfram Alpha?

To calculate a limit using Wolfram Alpha, simply type in the limit expression into the search bar and click "Compute". Wolfram Alpha will then provide the numerical value or symbolic representation of the limit, along with a step-by-step solution if available.

## Can Wolfram Alpha calculate limits at infinity?

Yes, Wolfram Alpha can calculate limits at infinity by including "infinity" in the limit expression. For example, to calculate the limit as x approaches infinity, type "limit of f(x) as x->infinity" into the search bar.

## Does Wolfram Alpha provide explanations for the steps in calculating a limit?

Yes, Wolfram Alpha provides explanations for each step in the calculation of a limit if they are available. This can be accessed by clicking on the "Show steps" button on the results page.

## Is Wolfram Alpha accurate in calculating limits?

Yes, Wolfram Alpha is known for its accuracy in mathematical calculations, including limits. However, it is always recommended to double-check the result with other sources or by hand calculation.

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