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## Homework Statement

Prove that if limX

_{n}= +∞ and limY

_{n}>0 then limX

_{n}Y

_{n}=+∞

## The Attempt at a Solution

limX

_{n}Y

_{n}= limX

_{n}limY

_{n}= (c)(+∞) where c is a positive real number

I know in my head that a positive number multiplied by infinity is positive, but I am unsure how to prove this and we have not yet done this particular example in class.