Limit of (x^3 + 5x)/(2x^3 - x^2 + 4) as x approches infinity

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Limit of (x^3 + 5x)/(2x^3 - x^2 + 4) as x approches infinity. This is a calculus problem where we find the limit of a rational function.

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Thank you for these short videos where you solve a problem - more like this please!

maxmontauk
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We can also solve it by l hospital rule but your Method is easier :)

Maths_.
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Then what happens if nominator X has bigger power (& coefficient) than the denominator? Like
lim x -> ∞ ((2x - 3)(3x + 5)(4x - 6))/(3x ^ 2 + x - 1)
Solve it please 🥺

somyanayak