Practice_Ques.pdf - MATH 1301 SOME PRACTICE QUESTIONS FOR...

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MATH 1301SOME PRACTICE QUESTIONS FOR FINALSSpring 2018Note : These practice questions only cover some topics covered in the course; the finalexam may contain questions from topics not seen here. It may take you more than 2 hoursto do all these questions, but that is okay since there are likely to be less number ofquestions on your final.I hope this helps you prepare better . Good luck !!Ques.1.Compute the following limits.(1)limx0+(tan(2x))x(2)limx0+1x-1arctan(x)(3)limx+sin-1sin7π6(4)limx0+lnxxQues.2.Compute the following integrals.(1)Zsec3(x)dx(2)Zsec6xtan2xdx(3)Zxsin(x) cos(x)dx(4)Zx+ 19x2+ 6x+ 5dx(5)Zxex2dxQues.3.Test the following series for absolute convergence, conditional convergence ordivergence.(1)Xn=0n+ 14n+ 51
Ques.4.Determine the radius and interval of convergence of the following series.(1)Xn=1(-1)n-1n5nxn(2)Xn=1(x-2)nnn(3)Xn=1xnn!Ques.5.Find the exact length of the curve.y= 1-e-x,0x2Ques.6.Find the area enclosed by thex-axis, and the curvex=t3+ 1, y= 2t-t2.Ques.7.Graph the curve and find the area of one loop of

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