# Euler's Method for the Exponential Function

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For each value of , the sequence converges to . Also, if is the Euler method approximation to the solution of the differential equation , on the interval with , then (the red curve) converges to for each in the interval. The points generated by Euler's method are marked in green. Observe that for any , the error between the approximation and the real value increases with the value of .

Contributed by: Arnaud Crouzet (March 2011)

Open content licensed under CC BY-NC-SA

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detailSectionParagraph## Permanent Citation

"Euler's Method for the Exponential Function"

http://demonstrations.wolfram.com/EulersMethodForTheExponentialFunction/

Wolfram Demonstrations Project

Published: March 7 2011