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# 21. Find the limit of the sequence if it converges, otherwise indicate divergence.

Find the limit of the sequence if it converges; otherwise indicate divergence. 2 — 1n + 3n421)a =— Zn 5n4 _ 2n3 + 23 3 2 . Find the volume of the solid generated by revolving the region bounded by the given lines and curves about thl 22)y= «’2x+3,y =0,=x 0,x=12 A) 471 B) 3T“ C) 27: D) 1! Evaluate the integral by using a substitution prior to integration by parts. %«/6x+5 dx 2A) —e’\16x+5[\/6x+5—6]+C B) (6x+5)e~16X+5 +C0% WNW—me o) 2:6?" e~léx+5 +c Find the center of mass of a thin plate of constant density covering the given region.24) The region bounded by y = x2 and y = 3 u\ A)x= 0,y= 25—7- B)x=0,y=% C)x= 0,y=— D)x=0,y=5