Recent content by sdg612

Find the Taylor polynomial of degree 10 about x=0 for f(x)=sin2x (show all work) This is what i have: M10= f(0)+f\hat{}1(0)x+f\hat{}2(0)x\hat{}2/2!+f\hat{}3(0)x\hat{}3/3!+...+f\hat{}10(0)x\hat{}10/10! f(x)=sin2x f(0)=sin2(0)=0 f\hat{}1(x)=2cos2x f\hat{}1(0)=2cos2(0)=2...

Find the Taylor polynomial of degree 10 about x=0 for f(x)=sin2x (show all work) This is what i have: M10= f(0)+f\hat{}1(0)x+f\hat{}2(0)x\hat{}2/2!+f\hat{}3(0)x\hat{}3/3!+...+f\hat{}10(0)x\hat{}10/10! f(x)=sin2x f(0)=sin2(0)=0 f\hat{}1(x)=2cos2x f\hat{}1(0)=2cos2(0)=2...

thank you! yes those are the questions! it took me forever just to get them looking like that! Thank you again I'm still trying to get used to this forum...

Use the integral test to determine convergence or divergence of the foloowing series: a) \infty (n=1) \sumn/n\hat{}2+1 b) \infty (n=2) \sum1/n\hat{}2+1

Determine whether the following converge or diverge (show all work and state all tests and theormes used!) a)\infty (n=1)\sumcos\hat{}2 n/n \sqrt{}n b)\infty (n=1)\sum4(-1)\hat{}n-1/n\hat{}5+n\hat{}3 i need help answering these 2 problems! any help wld be appreciated! Thnx!