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1) Find the limit: lim t [ ( t 2 + 1 t ) i + ( 4 t 2 3 t 2 ) j

1) Find the limit:limt[(t2+1t)i+(4t23t2)j+(e2tt)k]

2) Solve the differential equation:

r(t)=e2ti+1+t22tj+3t2k,r(0)=2i3j+4k

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