SOLUTION: Use the first five terms of the exponential series (shown below) to approximate e^6. e^x = 1 + x + x^2/2! + x^3/3! + x^4/4! + ...

Algebra ->  Finance -> SOLUTION: Use the first five terms of the exponential series (shown below) to approximate e^6. e^x = 1 + x + x^2/2! + x^3/3! + x^4/4! + ...      Log On


   



Question 1035868: Use the first five terms of the exponential series (shown below) to approximate e^6.
e^x = 1 + x + x^2/2! + x^3/3! + x^4/4! + ...

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
e%5E6+=+1+%2B+6+%2B+6%5E2%2F2%21+%2B+6%5E3%2F3%21+%2B+6%5E4%2F4%21+=+115
The approximation is not so accurate at all, as e%5E6+=+403.428793493 to twelve significant figures.