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

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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Linda Tincher
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:

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:
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