>find the limit
I 100% understand what they're doing with expression to get answer. What I don't get is the algebra they're using on second step, more exactly what is happening with numerator and roots when they're factoring x^2.
Can anyone explain?
Its just a simple factorization. They are dividing the expresion 7–6x+4x2 between x2. But they cant just introduce x2 just like that. They have to mantein the same expresion multiplying all the expresion for x2 because x2/x2=, so the value of the equation doesnt change.
>>336427
x2/x2=1
>>336427
>>336430
Not OP, but I don't get how he figured out that top part.
- I get that on the bottom, he rewrote it as x-squared times something.
- I get that on the top, he has to do the same thing, but since there's already an x he only needs to divide the parentheses parts by x.
- I don't get how they came up with those modified parenthetical parts. For instance, the part in the middle: shouldn't it be 1/x, not 1/sqrt(x)?
Envisioning the math I would do on paper, I end up with the same result as OP's pic. They just did some confusing simplifications (or maybe I'm just dumb).
>>336427
I get that. It's the algebraic process for that factorization of the numerator is what I don't understand.
This is what they did right? What is the algebra behind this operation?
>>336446
>- I don't get how they came up with those modified parenthetical parts.
yeah this
>>336461
Ok, now i get it. I hope i'm not late.
>>336932
No it's not too late. Thank you my man.