Question
Consider the function f(x)=ln(1+x). a) Enter the degree- n term in the Maclaurin polynomial ? b)Enter the remainder term R n ( z ) which
Consider the function f(x)=ln(1+x).
a)Enter the degree-nterm in the Maclaurin polynomial ?
b)Enter the remainder termRn(z)which will also be a function ofxandn?
c)Find an upper bound for the absolute value of the remainder term whenx>0.It may help to remember thatzis betweenxand0 ?
d)Use this formula to find how many terms are needed to estimateln(1.4)with an error less than104 ?
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Shape Optimization And Optimal Design
Authors: John Cagnol
1st Edition
0824705564, 978-0824705565
