Question #329581

9) Use your value of x to calculate a value for 𝑒𝑥 from the first four

terms.

X = 1



1
Expert's answer
2022-04-18T00:31:47-0400

ex=k=0xkk!e^x=\sum_{k=0}^{\infty}\frac{x^k}{k!}

First 4 terms:

ex1+x+x22+x36e^x\approx 1+x+\frac{x^2}{2}+\frac{x^3}{6}

For x = 1:

e1=e1+1+12+16=1662.67e^1=e\approx1+1+\frac{1}{2}+\frac{1}{6}=\frac{16}{6}\approx2.67


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