# Questions tagged [wolfram-alpha]

For mathematical questions related to the usage of WolframAlpha.

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### Proof of equality given by wolfram alpha

By 'playing' with wolfram alpha and entering this sum $$\sum_{n=0}^{+\infty}(-1)^n\left(\frac{1}{1+nx}+\frac{1}{x-1+nx}\right)$$ I found this alternative form that interest me: (since I don't know the ...
35 views

### Solve basic system of equations with two unknowns. Why solution doesn't exists? [closed]

The following equation has no solution, but I'm not sure why exactly: $7 = 3x_1 + 5x_2 \\ 13 = (1 - x_1)3 + (1 - x_2)5 + 21$ Code for Wolfram Alpha ...
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### Restricting Domain in Wolfram Alpha for Nested Quantifiers

Is there a way to restrict the domain to all positive integers when you're using Resolve[] on nested quantifiers in Wolfram Alpha? If so, how? If not but there is ...
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### How do I find $\frac{\mathrm{d}}{\mathrm{d}x} \int_{x}^{\infty} f(t, x) \mathrm{d} t$?

I am trying to compute the following derivative: $$\frac{\mathrm{d}\Big(\int_{x}^{\infty} f(t, x) \mathrm{d} t\Big)}{\mathrm{d}x} \text{.}\tag{1}$$ It is straightforward to compute the following ...
1 vote
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### Wolfram Alpha computation of exponents

I am a bit confused by a Wolfram Alpha. In my calculations I had a term like $x^{(3/2)}$ which I wrote as $\sqrt{x^3}$. As silly mistakes happen quite often to me, I often double check stuff like this ...
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### How to solve this system of equations in Wolfram Alpha?

I want to solve P0 + t0 * V0 + t2 * V2 == P1 + t1 * V1 for t0, t1 and t2, which are scalars, whereas the uppercase variables ...
61 views

### Can someone explain me what the limes of this example is? What does this solution of Wolfram mean?

This is the example I tried to solve with WolframAlpha. The result is also in the picture. Can someone explain me what the limes of this example is and how can i get there by hand? Limit[Power[(40)...
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### Why is Wolfram's (presumably more precise) Maclaurin series a much worse approximation than my own (presumably less precise) series?

I recently answered this question, concerning the existence and nature of the implicit function defined by: $$F(x,y)=x^3-y^3-3xy+1$$ For $x$ close to $0$ - roughly the range $|x|\lt0.4$ - I showed how ...
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### What does this slant "equals" sign indicate in this wolfram alpha plot?

When plotting the function $$\frac{(x^2 -1)}{(x^2 -x -2)}$$ with Wolfram alpha, the second plot has a slant "equals" sign right below when the graph hits the y-axis. What does this indicate? ...
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