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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"Euler's Method for the Exponential Function"
http://demonstrations.wolfram.com/EulersMethodForTheExponentialFunction/
Wolfram Demonstrations Project
Published: March 7 2011
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