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## Homework Statement

Lim ( 5+6x

^{2})/(√(x

^{3})) + 2x

^{2}+1)

x->∞

## Homework Equations

not allowed to use lhopitals rule

## The Attempt at a Solution

first, i divided by x

^{2}, which yielded

(5/(x

^{2}) + 6 + √(x)) / (2 + 1/x

^{2})

then i assumed that thelim x--> infi of 5/x

^{2}= 0, lim x--> infi 6 = 6, lim x---> infi sqrt(x) = infinity, lim x--- > infi 2 = 2, lim x---> infi 1/x

^{2}= 0

so basically i ended up with the limit = to (6(∞))/(2) which im not sure if its the right answer. pretty sure it isnt

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