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Math Help - Calculator Graphing Window Comparison

  1. #1
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    Calculator Graphing Window Comparison

    I have been asked to see for what range of x values p(x)=1+x+(x^2/2)+(x^3/6)+(x^4/24)+(x^5/120) provides a good approximation of f(x)=e^x, when I graph them with a window of -10\leq x\leq 10 and 0\leq y\leq 200, the two lines look fairly close at the top, but I know that p(5)=91.4167 and f(5)=148.4132.
    I know that the lower limit of my answer is 0, but I can't figure out quite to find the upper limit. When I use the graph, do I look at differences in y values for specific x values, or differences in x values for specific y values?
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  2. #2
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    I'm not certain either approach is invalid but I'm too tired to think on it so use the differences between the y-values at arbitrary values of x, of which I am certain is valid.
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