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(Solved): Suppose that a sequence ( a_(n):n>=1 ) diverges to infinity. Suppose that a second sequence ( b_( ...


Suppose that a sequence (

a_(n):n>=1

) diverges to infinity. Suppose that a second sequence (

b_(n):n>=1

) satisfies (i)

b_(n)>0

for all

n

and (ii)

b_(n)->2

as

n->\infty

. Give a proof that

(\rho _(n))/(b_(n))->\infty

as

n->\infty

.

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