Graph y= e^{x}\ and\ y=1+x+x^{2}/2 + x^{3}/6 +x^{4}/24 in the

Michelle Isakson 2021-12-03 Answered
Graph \(\displaystyle{y}={e}^{{{x}}}\ {\quad\text{and}\quad}\ {y}={1}+{x}+\frac{{x}^{{{2}}}}{{2}}+\frac{{x}^{{{3}}}}{{6}}+\frac{{x}^{{{4}}}}{{24}}\) in the same viewing rectangle.

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Expert Answer

Linda Tincher
Answered 2021-12-04 Author has 7041 answers
Two functions are given that, first is \(\displaystyle{y}={e}^{{{x}}}\) and anotheris \(\displaystyle{y}={1}+{x}+{\frac{{{x}^{{{2}}}}}{{{2}}}}+{\frac{{{x}^{{{3}}}}}{{{6}}}}+{\frac{{{x}^{{{4}}}}}{{{24}}}}\).
The graph of exponential functional \(\displaystyle{y}={e}^{{{x}}}\) is:
image
The graph of polynomial functional \(\displaystyle{y}={1}+{x}+{\frac{{{x}^{{{2}}}}}{{{2}}}}+{\frac{{{x}^{{{3}}}}}{{{6}}}}+{\frac{{{x}^{{{4}}}}}{{{24}}}}\)..
The graphs of both functions in the same viewing rectangle are:
image
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