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levinotik
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Any idea how I can ask a question longer than 600 chars? I typed up a longish question that cannot be shortened.
 one year ago
 one year ago
levinotik Group Title
Any idea how I can ask a question longer than 600 chars? I typed up a longish question that cannot be shortened.
 one year ago
 one year ago

This Question is Closed

levinotik Group TitleBest ResponseYou've already chosen the best response.0
I've attached my question.
 one year ago

SomeBloke Group TitleBest ResponseYou've already chosen the best response.1
For big questions, you could ask each part in a separate post. The equations in your attached question seem to be incorrect. For example, you've got "f(x) = x^2 + x/x+1" but the notes have\[f(x)=\frac{x^{2}+x}{x+1}.\]What you probably meant was f(x) = (x^2 + x)/(x+1), which would be the same as the notes. It's a good idea to use the equation button if you want to include equations. You asked, "Am I right in understanding that there's nothing inherently "easy" about calculating the limit of this function, but that it's only because we are looking for the limit as x tends to 3 that it becomes easy? In other words, if we wanted the limit as x approached zero then it would be a hard one?" No, you've not understood correctly. The case where x tends to zero is just as easy. It's only when x tends to 1 that it's hard in that particular example. For your second question, I think the notes have failed to say that\[\Delta x=xx_{0}.\]I hope that clears up the confusion.
 one year ago

levinotik Group TitleBest ResponseYou've already chosen the best response.0
Thanks for your response. I think I see it now. You're saying that \[x_0\] cannot be equal to \[x \] because then \[\Delta x \] is equal to zero and we cannot divide by zero.
 one year ago

SomeBloke Group TitleBest ResponseYou've already chosen the best response.1
Yes, that's it.
 one year ago

levinotik Group TitleBest ResponseYou've already chosen the best response.0
So essentially, the example of \[x \rightarrow x_0 \] is the same thing as \[\Delta x \rightarrow 0\]?
 one year ago

SomeBloke Group TitleBest ResponseYou've already chosen the best response.1
I think so, yeah.
 one year ago
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