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Find the Taylor polynomial $T_{n}(x)$ for the function $f$ at the number a. Graph $f$ and $T_{3}$ on the same screen. $$f(x)=x+e^{-x}, \quad a=0$$...

Question

Find the Taylor polynomial $T_{n}(x)$ for the function $f$ at the number a. Graph $f$ and $T_{3}$ on the same screen. $$f(x)=x+e^{-x}, \quad a=0$$

Find the Taylor polynomial $T_{n}(x)$ for the function $f$ at the number a. Graph $f$ and $T_{3}$ on the same screen. $$f(x)=x+e^{-x}, \quad a=0$$



Answers

Find the Taylor polynomials $ T_3(x) $ for the function $ f $ centered at the number $ a $ Graph $ f $ and $ T_3 $ on the same screen.

$ f(x) = e^x, $ $ a = 1 $


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