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The Taylor series for f(x)=100+x−−−−−−√f(x)=100+x at a=0a=0 is ∑n=0[infinity]cn(x)n.∑n=0[infinity] cn(x)n. Find the first few coefficients. c0=c0= 10 c1=c1= 1 20 c2=c2= [−( 1 4)( 1 100 3 2)] 2 c3=c3= [( 3 8)100(− 5 2)] 6 Find the error in approximating 101−−−√=f(1)101=f(1) using the third degree Taylor polynomial of ff at a=0.a=0. That is, find the error of the approximation 101−−−√≈T3(1)101≈T3(1). The absolute value of the error is
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The Taylor series for f(x)=100+x−−−−−−√f(x)=100+x at a=0a=0 is ∑n=0[infinity]cn(x)n.∑n=0[infinity] c...
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