We observe that, since y′′ for 3 ln x equals , the true curve is concave down
and below the Euler graph.
The last column in the previous table shows the true values (to three decimal
places) of y. The Euler approximation for 3 ln 3 is 3.85; the true value is 3.296.
The Euler approximation with four steps is not very good! However, see what
happens as we increase the number n of steps:
marvins-underground-k-12
(Marvins-Underground-K-12)
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