limit

[hybrid rose]

heeyy guys i need a help! this limit should be + infinity but I keep getting 0. I think im doing something wrong after i rationalized it.

[brazen prawn]

You have it correct so far evalutaing $\lim_{x\to +\infty}\frac{2x-1}{\sqrt{3x+1}+\sqrt{x+2}}$. To finish evaluating this limit, you can try finding a lower bound to your function that also diverges.

[hidden locust]

SWR

[open pebble]

Try to factor x out from the numerator and denominator

You basically assume that it's 0 but that cannot be since √x is slower growing than x, hence the numerator is a bigger and faster infinity than the denominator, resulting to infinity

[hybrid rose]

oh right

I got it

Thank you so much!!

[brazen prawn]

.solved