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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 ... .

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      EUN,LOM,LRE4,work-cmr-id:398334,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/EulersMethodForTheExponentialFunction/,ilox,learning resource exchange,LRE metadata application profile,LRE

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