Impossible questions continue
I keep getting odd questions from the Question facility in Interactive Mathematics. This question has no return name or email address, so how can I follow it up? How am I supposed to answer it? Give me a break…
how to use various mathematical sign
If students are not educated in a context of question asking, it is not surprising that they find it very difficult to ask good questions - or even ask questions that make any sense.
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arron said,
October 3, 2007 at 9:25 pm
if you think your so clever then answer this question
Let f be the function given by f(x)= e^(-2x^2) (read as e raised to the negative 2 x squared)
(a) Find the first four nonzero terms and the general term of the power seriews for f(x) about x=0.
(b) Find the interval of convergence of the power seriews for f(x) about x = 0. Show the analysis that leads to your conclusion.
(c) Let g be the function given by the sum of the first four nonzero terms of the power seriews for f(x) about x=0. Show that l f(x) - g(x) l
zac said,
October 4, 2007 at 12:22 am
Hi Arron and thank you for your question.
I’m sorry if my post came across as arrogant to you. My point was that many students have problems asking questions properly, because in most classrooms, they are told to be quiet and listen. If teachers encouraged more discussion, then students would have more question asking skills, making it easier for others to understand where the problem lies.
I would use the Mclaurin Series expansion of the function for part (a), giving 1-2x²+2x⁴-(4/3)x⁶+…
For (b), I would use this process.
Question (c) is incomplete.